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Finding the Fourth Proportional to 157,464, 217,308.96 and 90,400.32

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Solution

The fourth proportional to 157,464, 217,308.96 and 90,400.32 is: 124,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464 : 217,308.96 = 90,400.32 : x
  2. Step 2: Convert to fraction form
    157,464/217,308.96 = 90,400.32/x
  3. Step 3: Cross multiply
    157,464x = 217,308.96 × 90,400.32
  4. Step 4: Simplify right side
    157,464x = 19,644,799,522.87
  5. Step 5: Solve for x
    x = 19,644,799,522.87/157,464
  6. Step 6: Final answer
    x = 124,757.40

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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.