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Finding the Fourth Proportional to 254,568.70, 381,854.10 and 86,089.90

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Solution

The fourth proportional to 254,568.70, 381,854.10 and 86,089.90 is: 129,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,568.70 : 381,854.10 = 86,089.90 : x
  2. Step 2: Convert to fraction form
    254,568.70/381,854.10 = 86,089.90/x
  3. Step 3: Cross multiply
    254,568.70x = 381,854.10 × 86,089.90
  4. Step 4: Simplify right side
    254,568.70x = 32,873,781,283.59
  5. Step 5: Solve for x
    x = 32,873,781,283.59/254,568.70
  6. Step 6: Final answer
    x = 129,135.21

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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.