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Finding the Fourth Proportional to 121,180.64, 181,854 and 42,294.88

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Solution

The fourth proportional to 121,180.64, 181,854 and 42,294.88 is: 63,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,180.64 : 181,854 = 42,294.88 : x
  2. Step 2: Convert to fraction form
    121,180.64/181,854 = 42,294.88/x
  3. Step 3: Cross multiply
    121,180.64x = 181,854 × 42,294.88
  4. Step 4: Simplify right side
    121,180.64x = 7,691,492,652.89
  5. Step 5: Solve for x
    x = 7,691,492,652.89/121,180.64
  6. Step 6: Final answer
    x = 63,471.30

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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.