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Finding the Fourth Proportional to 128,314,829.80, 192,472,244.70 and 77,296,493.80

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Solution

The fourth proportional to 128,314,829.80, 192,472,244.70 and 77,296,493.80 is: 115,944,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,314,829.80 : 192,472,244.70 = 77,296,493.80 : x
  2. Step 2: Convert to fraction form
    128,314,829.80/192,472,244.70 = 77,296,493.80/x
  3. Step 3: Cross multiply
    128,314,829.80x = 192,472,244.70 × 77,296,493.80
  4. Step 4: Simplify right side
    128,314,829.80x = 14,877,429,669,125,632
  5. Step 5: Solve for x
    x = 14,877,429,669,125,632/128,314,829.80
  6. Step 6: Final answer
    x = 115,944,740.70

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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.