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Finding the Fourth Proportional to 92,459.91, 138,706.07 and 39,871.47

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Solution

The fourth proportional to 92,459.91, 138,706.07 and 39,871.47 is: 59,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,459.91 : 138,706.07 = 39,871.47 : x
  2. Step 2: Convert to fraction form
    92,459.91/138,706.07 = 39,871.47/x
  3. Step 3: Cross multiply
    92,459.91x = 138,706.07 × 39,871.47
  4. Step 4: Simplify right side
    92,459.91x = 5,530,414,709.47
  5. Step 5: Solve for x
    x = 5,530,414,709.47/92,459.91
  6. Step 6: Final answer
    x = 59,814.19

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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.