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Finding the Fourth Proportional to 100,385.25, 138,531.25 and 62,137.17

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Solution

The fourth proportional to 100,385.25, 138,531.25 and 62,137.17 is: 85,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.25 : 138,531.25 = 62,137.17 : x
  2. Step 2: Convert to fraction form
    100,385.25/138,531.25 = 62,137.17/x
  3. Step 3: Cross multiply
    100,385.25x = 138,531.25 × 62,137.17
  4. Step 4: Simplify right side
    100,385.25x = 8,607,939,909.23
  5. Step 5: Solve for x
    x = 8,607,939,909.23/100,385.25
  6. Step 6: Final answer
    x = 85,749.05

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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.