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Finding the Fourth Proportional to 121,221.90, 181,861.46 and 38,115.90

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Solution

The fourth proportional to 121,221.90, 181,861.46 and 38,115.90 is: 57,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,221.90 : 181,861.46 = 38,115.90 : x
  2. Step 2: Convert to fraction form
    121,221.90/181,861.46 = 38,115.90/x
  3. Step 3: Cross multiply
    121,221.90x = 181,861.46 × 38,115.90
  4. Step 4: Simplify right side
    121,221.90x = 6,931,813,223.21
  5. Step 5: Solve for x
    x = 6,931,813,223.21/121,221.90
  6. Step 6: Final answer
    x = 57,182.85

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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.