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Finding the Fourth Proportional to 157,672.08, 217,824.42 and 103,353.17

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Solution

The fourth proportional to 157,672.08, 217,824.42 and 103,353.17 is: 142,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,672.08 : 217,824.42 = 103,353.17 : x
  2. Step 2: Convert to fraction form
    157,672.08/217,824.42 = 103,353.17/x
  3. Step 3: Cross multiply
    157,672.08x = 217,824.42 × 103,353.17
  4. Step 4: Simplify right side
    157,672.08x = 22,512,844,310.41
  5. Step 5: Solve for x
    x = 22,512,844,310.41/157,672.08
  6. Step 6: Final answer
    x = 142,782.69

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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.