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Finding the Fourth Proportional to 157,170.32, 216,891.24 and 90,098

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Solution

The fourth proportional to 157,170.32, 216,891.24 and 90,098 is: 124,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,170.32 : 216,891.24 = 90,098 : x
  2. Step 2: Convert to fraction form
    157,170.32/216,891.24 = 90,098/x
  3. Step 3: Cross multiply
    157,170.32x = 216,891.24 × 90,098
  4. Step 4: Simplify right side
    157,170.32x = 19,541,466,941.52
  5. Step 5: Solve for x
    x = 19,541,466,941.52/157,170.32
  6. Step 6: Final answer
    x = 124,333.06

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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.