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Finding the Fourth Proportional to 252,157.52, 378,291.63 and 74,678.42

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Solution

The fourth proportional to 252,157.52, 378,291.63 and 74,678.42 is: 112,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,157.52 : 378,291.63 = 74,678.42 : x
  2. Step 2: Convert to fraction form
    252,157.52/378,291.63 = 74,678.42/x
  3. Step 3: Cross multiply
    252,157.52x = 378,291.63 × 74,678.42
  4. Step 4: Simplify right side
    252,157.52x = 28,250,221,227.62
  5. Step 5: Solve for x
    x = 28,250,221,227.62/252,157.52
  6. Step 6: Final answer
    x = 112,034.02

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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.