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Finding the Fourth Proportional to 89,840, 134,708.16 and 39,920

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Solution

The fourth proportional to 89,840, 134,708.16 and 39,920 is: 59,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,840 : 134,708.16 = 39,920 : x
  2. Step 2: Convert to fraction form
    89,840/134,708.16 = 39,920/x
  3. Step 3: Cross multiply
    89,840x = 134,708.16 × 39,920
  4. Step 4: Simplify right side
    89,840x = 5,377,549,747.20
  5. Step 5: Solve for x
    x = 5,377,549,747.20/89,840
  6. Step 6: Final answer
    x = 59,856.97

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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.