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Finding the Fourth Proportional to 57,701.20, 86,551.80 and 54,639.40

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Solution

The fourth proportional to 57,701.20, 86,551.80 and 54,639.40 is: 81,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.20 : 86,551.80 = 54,639.40 : x
  2. Step 2: Convert to fraction form
    57,701.20/86,551.80 = 54,639.40/x
  3. Step 3: Cross multiply
    57,701.20x = 86,551.80 × 54,639.40
  4. Step 4: Simplify right side
    57,701.20x = 4,729,138,420.92
  5. Step 5: Solve for x
    x = 4,729,138,420.92/57,701.20
  6. Step 6: Final answer
    x = 81,959.10

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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.