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Finding the Fourth Proportional to 57,655.80, 86,483.70 and 54,934.20

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Solution

The fourth proportional to 57,655.80, 86,483.70 and 54,934.20 is: 82,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,655.80 : 86,483.70 = 54,934.20 : x
  2. Step 2: Convert to fraction form
    57,655.80/86,483.70 = 54,934.20/x
  3. Step 3: Cross multiply
    57,655.80x = 86,483.70 × 54,934.20
  4. Step 4: Simplify right side
    57,655.80x = 4,750,912,872.54
  5. Step 5: Solve for x
    x = 4,750,912,872.54/57,655.80
  6. Step 6: Final answer
    x = 82,401.30

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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.