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Finding the Fourth Proportional to 124,052.32, 171,255.76 and 83,978.08

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Solution

The fourth proportional to 124,052.32, 171,255.76 and 83,978.08 is: 115,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,052.32 : 171,255.76 = 83,978.08 : x
  2. Step 2: Convert to fraction form
    124,052.32/171,255.76 = 83,978.08/x
  3. Step 3: Cross multiply
    124,052.32x = 171,255.76 × 83,978.08
  4. Step 4: Simplify right side
    124,052.32x = 14,381,729,913.74
  5. Step 5: Solve for x
    x = 14,381,729,913.74/124,052.32
  6. Step 6: Final answer
    x = 115,932.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.