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Finding the Fourth Proportional to 121,116.80, 181,691.40 and 42,255.20

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Solution

The fourth proportional to 121,116.80, 181,691.40 and 42,255.20 is: 63,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,116.80 : 181,691.40 = 42,255.20 : x
  2. Step 2: Convert to fraction form
    121,116.80/181,691.40 = 42,255.20/x
  3. Step 3: Cross multiply
    121,116.80x = 181,691.40 × 42,255.20
  4. Step 4: Simplify right side
    121,116.80x = 7,677,406,445.28
  5. Step 5: Solve for x
    x = 7,677,406,445.28/121,116.80
  6. Step 6: Final answer
    x = 63,388.45

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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.