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Finding the Fourth Proportional to 65,169.72, 89,941.80 and 39,691.02

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Solution

The fourth proportional to 65,169.72, 89,941.80 and 39,691.02 is: 54,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.72 : 89,941.80 = 39,691.02 : x
  2. Step 2: Convert to fraction form
    65,169.72/89,941.80 = 39,691.02/x
  3. Step 3: Cross multiply
    65,169.72x = 89,941.80 × 39,691.02
  4. Step 4: Simplify right side
    65,169.72x = 3,569,881,782.64
  5. Step 5: Solve for x
    x = 3,569,881,782.64/65,169.72
  6. Step 6: Final answer
    x = 54,778.23

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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.