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Finding the Fourth Proportional to 71,445.92, 98,595.20 and 39,614

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Solution

The fourth proportional to 71,445.92, 98,595.20 and 39,614 is: 54,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,445.92 : 98,595.20 = 39,614 : x
  2. Step 2: Convert to fraction form
    71,445.92/98,595.20 = 39,614/x
  3. Step 3: Cross multiply
    71,445.92x = 98,595.20 × 39,614
  4. Step 4: Simplify right side
    71,445.92x = 3,905,750,252.80
  5. Step 5: Solve for x
    x = 3,905,750,252.80/71,445.92
  6. Step 6: Final answer
    x = 54,667.23

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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.