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Finding the Fourth Proportional to 82,513.80, 123,770.70 and 54,520.20

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Solution

The fourth proportional to 82,513.80, 123,770.70 and 54,520.20 is: 81,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.80 : 123,770.70 = 54,520.20 : x
  2. Step 2: Convert to fraction form
    82,513.80/123,770.70 = 54,520.20/x
  3. Step 3: Cross multiply
    82,513.80x = 123,770.70 × 54,520.20
  4. Step 4: Simplify right side
    82,513.80x = 6,748,003,318.14
  5. Step 5: Solve for x
    x = 6,748,003,318.14/82,513.80
  6. Step 6: Final answer
    x = 81,780.30

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1.5x scale

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.