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Finding the Fourth Proportional to 80,722.86, 121,084.35 and 38,593

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Solution

The fourth proportional to 80,722.86, 121,084.35 and 38,593 is: 57,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.86 : 121,084.35 = 38,593 : x
  2. Step 2: Convert to fraction form
    80,722.86/121,084.35 = 38,593/x
  3. Step 3: Cross multiply
    80,722.86x = 121,084.35 × 38,593
  4. Step 4: Simplify right side
    80,722.86x = 4,673,008,319.55
  5. Step 5: Solve for x
    x = 4,673,008,319.55/80,722.86
  6. Step 6: Final answer
    x = 57,889.53

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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.