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Finding the Fourth Proportional to 135,642.60, 203,463.90 and 121,127.40

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Solution

The fourth proportional to 135,642.60, 203,463.90 and 121,127.40 is: 181,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.60 : 203,463.90 = 121,127.40 : x
  2. Step 2: Convert to fraction form
    135,642.60/203,463.90 = 121,127.40/x
  3. Step 3: Cross multiply
    135,642.60x = 203,463.90 × 121,127.40
  4. Step 4: Simplify right side
    135,642.60x = 24,645,053,200.86
  5. Step 5: Solve for x
    x = 24,645,053,200.86/135,642.60
  6. Step 6: Final answer
    x = 181,691.10

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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.