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Finding the Fourth Proportional to 145,233.60, 217,856.80 and 82,052.80

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Solution

The fourth proportional to 145,233.60, 217,856.80 and 82,052.80 is: 123,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,233.60 : 217,856.80 = 82,052.80 : x
  2. Step 2: Convert to fraction form
    145,233.60/217,856.80 = 82,052.80/x
  3. Step 3: Cross multiply
    145,233.60x = 217,856.80 × 82,052.80
  4. Step 4: Simplify right side
    145,233.60x = 17,875,760,439.04
  5. Step 5: Solve for x
    x = 17,875,760,439.04/145,233.60
  6. Step 6: Final answer
    x = 123,082.82

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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.