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Finding the Fourth Proportional to 157,957.84, 217,987.68 and 86,342.72

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Solution

The fourth proportional to 157,957.84, 217,987.68 and 86,342.72 is: 119,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,957.84 : 217,987.68 = 86,342.72 : x
  2. Step 2: Convert to fraction form
    157,957.84/217,987.68 = 86,342.72/x
  3. Step 3: Cross multiply
    157,957.84x = 217,987.68 × 86,342.72
  4. Step 4: Simplify right side
    157,957.84x = 18,821,649,217.69
  5. Step 5: Solve for x
    x = 18,821,649,217.69/157,957.84
  6. Step 6: Final answer
    x = 119,156.16

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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.