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Finding the Fourth Proportional to 252,294.96, 378,350.10 and 83,784.72

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Solution

The fourth proportional to 252,294.96, 378,350.10 and 83,784.72 is: 125,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,294.96 : 378,350.10 = 83,784.72 : x
  2. Step 2: Convert to fraction form
    252,294.96/378,350.10 = 83,784.72/x
  3. Step 3: Cross multiply
    252,294.96x = 378,350.10 × 83,784.72
  4. Step 4: Simplify right side
    252,294.96x = 31,699,957,190.47
  5. Step 5: Solve for x
    x = 31,699,957,190.47/252,294.96
  6. Step 6: Final answer
    x = 125,646.41

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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.