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Finding the Fourth Proportional to 252,047.70, 378,071.55 and 74,540.90

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Solution

The fourth proportional to 252,047.70, 378,071.55 and 74,540.90 is: 111,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,047.70 : 378,071.55 = 74,540.90 : x
  2. Step 2: Convert to fraction form
    252,047.70/378,071.55 = 74,540.90/x
  3. Step 3: Cross multiply
    252,047.70x = 378,071.55 × 74,540.90
  4. Step 4: Simplify right side
    252,047.70x = 28,181,791,711.04
  5. Step 5: Solve for x
    x = 28,181,791,711.04/252,047.70
  6. Step 6: Final answer
    x = 111,811.34

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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.