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Finding the Fourth Proportional to 71,677.35, 98,917.29 and 39,414.43

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Solution

The fourth proportional to 71,677.35, 98,917.29 and 39,414.43 is: 54,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.35 : 98,917.29 = 39,414.43 : x
  2. Step 2: Convert to fraction form
    71,677.35/98,917.29 = 39,414.43/x
  3. Step 3: Cross multiply
    71,677.35x = 98,917.29 × 39,414.43
  4. Step 4: Simplify right side
    71,677.35x = 3,898,768,602.49
  5. Step 5: Solve for x
    x = 3,898,768,602.49/71,677.35
  6. Step 6: Final answer
    x = 54,393.31

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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.