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Finding the Fourth Proportional to 157,431.46, 217,218.08 and 89,449.78

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Solution

The fourth proportional to 157,431.46, 217,218.08 and 89,449.78 is: 123,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,431.46 : 217,218.08 = 89,449.78 : x
  2. Step 2: Convert to fraction form
    157,431.46/217,218.08 = 89,449.78/x
  3. Step 3: Cross multiply
    157,431.46x = 217,218.08 × 89,449.78
  4. Step 4: Simplify right side
    157,431.46x = 19,430,109,468.02
  5. Step 5: Solve for x
    x = 19,430,109,468.02/157,431.46
  6. Step 6: Final answer
    x = 123,419.48

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1.5x scale

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.