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Finding the Fourth Proportional to 71,342.38, 98,454.21 and 39,513.63

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Solution

The fourth proportional to 71,342.38, 98,454.21 and 39,513.63 is: 54,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.38 : 98,454.21 = 39,513.63 : x
  2. Step 2: Convert to fraction form
    71,342.38/98,454.21 = 39,513.63/x
  3. Step 3: Cross multiply
    71,342.38x = 98,454.21 × 39,513.63
  4. Step 4: Simplify right side
    71,342.38x = 3,890,283,225.88
  5. Step 5: Solve for x
    x = 3,890,283,225.88/71,342.38
  6. Step 6: Final answer
    x = 54,529.77

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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.