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Finding the Fourth Proportional to 153,472.42, 211,743.21 and 86,391.46

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Solution

The fourth proportional to 153,472.42, 211,743.21 and 86,391.46 is: 119,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,472.42 : 211,743.21 = 86,391.46 : x
  2. Step 2: Convert to fraction form
    153,472.42/211,743.21 = 86,391.46/x
  3. Step 3: Cross multiply
    153,472.42x = 211,743.21 × 86,391.46
  4. Step 4: Simplify right side
    153,472.42x = 18,292,805,056.99
  5. Step 5: Solve for x
    x = 18,292,805,056.99/153,472.42
  6. Step 6: Final answer
    x = 119,192.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.