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Finding the Fourth Proportional to 252,059.40, 378,126.45 and 81,223.86

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Solution

The fourth proportional to 252,059.40, 378,126.45 and 81,223.86 is: 121,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,059.40 : 378,126.45 = 81,223.86 : x
  2. Step 2: Convert to fraction form
    252,059.40/378,126.45 = 81,223.86/x
  3. Step 3: Cross multiply
    252,059.40x = 378,126.45 × 81,223.86
  4. Step 4: Simplify right side
    252,059.40x = 30,712,889,837.10
  5. Step 5: Solve for x
    x = 30,712,889,837.10/252,059.40
  6. Step 6: Final answer
    x = 121,847.83

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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.