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Finding the Fourth Proportional to 171,906,472.80, 257,292,838.80 and 120,888,136.80

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Solution

The fourth proportional to 171,906,472.80, 257,292,838.80 and 120,888,136.80 is: 180,933,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,906,472.80 : 257,292,838.80 = 120,888,136.80 : x
  2. Step 2: Convert to fraction form
    171,906,472.80/257,292,838.80 = 120,888,136.80/x
  3. Step 3: Cross multiply
    171,906,472.80x = 257,292,838.80 × 120,888,136.80
  4. Step 4: Simplify right side
    171,906,472.80x = 31,103,651,894,514,748
  5. Step 5: Solve for x
    x = 31,103,651,894,514,748/171,906,472.80
  6. Step 6: Final answer
    x = 180,933,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.