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Finding the Fourth Proportional to 252,753.90, 378,871.65 and 147,518.70

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Solution

The fourth proportional to 252,753.90, 378,871.65 and 147,518.70 is: 221,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,753.90 : 378,871.65 = 147,518.70 : x
  2. Step 2: Convert to fraction form
    252,753.90/378,871.65 = 147,518.70/x
  3. Step 3: Cross multiply
    252,753.90x = 378,871.65 × 147,518.70
  4. Step 4: Simplify right side
    252,753.90x = 55,890,653,274.86
  5. Step 5: Solve for x
    x = 55,890,653,274.86/252,753.90
  6. Step 6: Final answer
    x = 221,126.77

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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.