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Finding the Fourth Proportional to 157,465.44, 217,321.92 and 90,396

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Solution

The fourth proportional to 157,465.44, 217,321.92 and 90,396 is: 124,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465.44 : 217,321.92 = 90,396 : x
  2. Step 2: Convert to fraction form
    157,465.44/217,321.92 = 90,396/x
  3. Step 3: Cross multiply
    157,465.44x = 217,321.92 × 90,396
  4. Step 4: Simplify right side
    157,465.44x = 19,645,032,280.32
  5. Step 5: Solve for x
    x = 19,645,032,280.32/157,465.44
  6. Step 6: Final answer
    x = 124,757.74

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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.