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Finding the Fourth Proportional to 65,202.25, 89,966.04 and 39,691.48

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Solution

The fourth proportional to 65,202.25, 89,966.04 and 39,691.48 is: 54,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.25 : 89,966.04 = 39,691.48 : x
  2. Step 2: Convert to fraction form
    65,202.25/89,966.04 = 39,691.48/x
  3. Step 3: Cross multiply
    65,202.25x = 89,966.04 × 39,691.48
  4. Step 4: Simplify right side
    65,202.25x = 3,570,885,277.34
  5. Step 5: Solve for x
    x = 3,570,885,277.34/65,202.25
  6. Step 6: Final answer
    x = 54,766.29

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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.