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Finding the Fourth Proportional to 157,909.50, 217,764.51 and 103,380.30

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Solution

The fourth proportional to 157,909.50, 217,764.51 and 103,380.30 is: 142,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.50 : 217,764.51 = 103,380.30 : x
  2. Step 2: Convert to fraction form
    157,909.50/217,764.51 = 103,380.30/x
  3. Step 3: Cross multiply
    157,909.50x = 217,764.51 × 103,380.30
  4. Step 4: Simplify right side
    157,909.50x = 22,512,560,802.09
  5. Step 5: Solve for x
    x = 22,512,560,802.09/157,909.50
  6. Step 6: Final answer
    x = 142,566.22

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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.