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Finding the Fourth Proportional to 140,380.16, 193,724.72 and 76,717.96

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Solution

The fourth proportional to 140,380.16, 193,724.72 and 76,717.96 is: 105,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380.16 : 193,724.72 = 76,717.96 : x
  2. Step 2: Convert to fraction form
    140,380.16/193,724.72 = 76,717.96/x
  3. Step 3: Cross multiply
    140,380.16x = 193,724.72 × 76,717.96
  4. Step 4: Simplify right side
    140,380.16x = 14,862,165,319.97
  5. Step 5: Solve for x
    x = 14,862,165,319.97/140,380.16
  6. Step 6: Final answer
    x = 105,870.84

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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.