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Finding the Fourth Proportional to 252,048.70, 378,073.05 and 74,541.90

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Solution

The fourth proportional to 252,048.70, 378,073.05 and 74,541.90 is: 111,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,048.70 : 378,073.05 = 74,541.90 : x
  2. Step 2: Convert to fraction form
    252,048.70/378,073.05 = 74,541.90/x
  3. Step 3: Cross multiply
    252,048.70x = 378,073.05 × 74,541.90
  4. Step 4: Simplify right side
    252,048.70x = 28,182,281,595.43
  5. Step 5: Solve for x
    x = 28,182,281,595.43/252,048.70
  6. Step 6: Final answer
    x = 111,812.84

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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.