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Finding the Fourth Proportional to 65,171.72, 97,592.13 and 54,613.98

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Solution

The fourth proportional to 65,171.72, 97,592.13 and 54,613.98 is: 81,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.72 : 97,592.13 = 54,613.98 : x
  2. Step 2: Convert to fraction form
    65,171.72/97,592.13 = 54,613.98/x
  3. Step 3: Cross multiply
    65,171.72x = 97,592.13 × 54,613.98
  4. Step 4: Simplify right side
    65,171.72x = 5,329,894,635.98
  5. Step 5: Solve for x
    x = 5,329,894,635.98/65,171.72
  6. Step 6: Final answer
    x = 81,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.