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Finding the Fourth Proportional to 157,929.62, 217,957.86 and 86,320.40

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Solution

The fourth proportional to 157,929.62, 217,957.86 and 86,320.40 is: 119,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,929.62 : 217,957.86 = 86,320.40 : x
  2. Step 2: Convert to fraction form
    157,929.62/217,957.86 = 86,320.40/x
  3. Step 3: Cross multiply
    157,929.62x = 217,957.86 × 86,320.40
  4. Step 4: Simplify right side
    157,929.62x = 18,814,208,568.55
  5. Step 5: Solve for x
    x = 18,814,208,568.55/157,929.62
  6. Step 6: Final answer
    x = 119,130.34

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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.