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Finding the Fourth Proportional to 121,225.92, 181,332.47 and 85,199.85

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Solution

The fourth proportional to 121,225.92, 181,332.47 and 85,199.85 is: 127,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,225.92 : 181,332.47 = 85,199.85 : x
  2. Step 2: Convert to fraction form
    121,225.92/181,332.47 = 85,199.85/x
  3. Step 3: Cross multiply
    121,225.92x = 181,332.47 × 85,199.85
  4. Step 4: Simplify right side
    121,225.92x = 15,449,499,457.13
  5. Step 5: Solve for x
    x = 15,449,499,457.13/121,225.92
  6. Step 6: Final answer
    x = 127,443.87

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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.