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Finding the Fourth Proportional to 252,023.40, 378,035.10 and 74,514.60

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Solution

The fourth proportional to 252,023.40, 378,035.10 and 74,514.60 is: 111,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,023.40 : 378,035.10 = 74,514.60 : x
  2. Step 2: Convert to fraction form
    252,023.40/378,035.10 = 74,514.60/x
  3. Step 3: Cross multiply
    252,023.40x = 378,035.10 × 74,514.60
  4. Step 4: Simplify right side
    252,023.40x = 28,169,134,262.46
  5. Step 5: Solve for x
    x = 28,169,134,262.46/252,023.40
  6. Step 6: Final answer
    x = 111,771.90

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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.