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Finding the Fourth Proportional to 81,614.14, 122,378.14 and 25,443.78

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Solution

The fourth proportional to 81,614.14, 122,378.14 and 25,443.78 is: 38,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,614.14 : 122,378.14 = 25,443.78 : x
  2. Step 2: Convert to fraction form
    81,614.14/122,378.14 = 25,443.78/x
  3. Step 3: Cross multiply
    81,614.14x = 122,378.14 × 25,443.78
  4. Step 4: Simplify right side
    81,614.14x = 3,113,761,731.86
  5. Step 5: Solve for x
    x = 3,113,761,731.86/81,614.14
  6. Step 6: Final answer
    x = 38,152.24

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1.5x scale

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.