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Finding the Fourth Proportional to 100,079.64, 137,951.10 and 78,825.24

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Solution

The fourth proportional to 100,079.64, 137,951.10 and 78,825.24 is: 108,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,079.64 : 137,951.10 = 78,825.24 : x
  2. Step 2: Convert to fraction form
    100,079.64/137,951.10 = 78,825.24/x
  3. Step 3: Cross multiply
    100,079.64x = 137,951.10 × 78,825.24
  4. Step 4: Simplify right side
    100,079.64x = 10,874,028,565.76
  5. Step 5: Solve for x
    x = 10,874,028,565.76/100,079.64
  6. Step 6: Final answer
    x = 108,653.75

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1.5x scale

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.