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Finding the Fourth Proportional to 82,667.60, 123,991.80 and 23,512.40

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Solution

The fourth proportional to 82,667.60, 123,991.80 and 23,512.40 is: 35,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,667.60 : 123,991.80 = 23,512.40 : x
  2. Step 2: Convert to fraction form
    82,667.60/123,991.80 = 23,512.40/x
  3. Step 3: Cross multiply
    82,667.60x = 123,991.80 × 23,512.40
  4. Step 4: Simplify right side
    82,667.60x = 2,915,344,798.32
  5. Step 5: Solve for x
    x = 2,915,344,798.32/82,667.60
  6. Step 6: Final answer
    x = 35,265.87

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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.