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Finding the Fourth Proportional to 55,770.60, 83,655.90 and 39,149.40

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Solution

The fourth proportional to 55,770.60, 83,655.90 and 39,149.40 is: 58,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,770.60 : 83,655.90 = 39,149.40 : x
  2. Step 2: Convert to fraction form
    55,770.60/83,655.90 = 39,149.40/x
  3. Step 3: Cross multiply
    55,770.60x = 83,655.90 × 39,149.40
  4. Step 4: Simplify right side
    55,770.60x = 3,275,078,291.46
  5. Step 5: Solve for x
    x = 3,275,078,291.46/55,770.60
  6. Step 6: Final answer
    x = 58,724.10

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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.