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Finding the Fourth Proportional to 157,654.67, 217,568.03 and 86,039.30

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Solution

The fourth proportional to 157,654.67, 217,568.03 and 86,039.30 is: 118,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.67 : 217,568.03 = 86,039.30 : x
  2. Step 2: Convert to fraction form
    157,654.67/217,568.03 = 86,039.30/x
  3. Step 3: Cross multiply
    157,654.67x = 217,568.03 × 86,039.30
  4. Step 4: Simplify right side
    157,654.67x = 18,719,401,117.30
  5. Step 5: Solve for x
    x = 18,719,401,117.30/157,654.67
  6. Step 6: Final answer
    x = 118,736.74

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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.