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Finding the Fourth Proportional to 252,299.61, 378,384.87 and 74,765.18

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Solution

The fourth proportional to 252,299.61, 378,384.87 and 74,765.18 is: 112,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,299.61 : 378,384.87 = 74,765.18 : x
  2. Step 2: Convert to fraction form
    252,299.61/378,384.87 = 74,765.18/x
  3. Step 3: Cross multiply
    252,299.61x = 378,384.87 × 74,765.18
  4. Step 4: Simplify right side
    252,299.61x = 28,290,011,592.19
  5. Step 5: Solve for x
    x = 28,290,011,592.19/252,299.61
  6. Step 6: Final answer
    x = 112,128.64

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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.