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Finding the Fourth Proportional to 121,414.40, 182,121.60 and 42,502.40

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Solution

The fourth proportional to 121,414.40, 182,121.60 and 42,502.40 is: 63,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414.40 : 182,121.60 = 42,502.40 : x
  2. Step 2: Convert to fraction form
    121,414.40/182,121.60 = 42,502.40/x
  3. Step 3: Cross multiply
    121,414.40x = 182,121.60 × 42,502.40
  4. Step 4: Simplify right side
    121,414.40x = 7,740,605,091.84
  5. Step 5: Solve for x
    x = 7,740,605,091.84/121,414.40
  6. Step 6: Final answer
    x = 63,753.60

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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.