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Finding the Fourth Proportional to 252,386.55, 378,497.88 and 83,861.62

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Solution

The fourth proportional to 252,386.55, 378,497.88 and 83,861.62 is: 125,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,386.55 : 378,497.88 = 83,861.62 : x
  2. Step 2: Convert to fraction form
    252,386.55/378,497.88 = 83,861.62/x
  3. Step 3: Cross multiply
    252,386.55x = 378,497.88 × 83,861.62
  4. Step 4: Simplify right side
    252,386.55x = 31,741,444,437.12
  5. Step 5: Solve for x
    x = 31,741,444,437.12/252,386.55
  6. Step 6: Final answer
    x = 125,765.20

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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.