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Finding the Fourth Proportional to 82,708.40, 123,947.40 and 61,482.80

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Solution

The fourth proportional to 82,708.40, 123,947.40 and 61,482.80 is: 92,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.40 : 123,947.40 = 61,482.80 : x
  2. Step 2: Convert to fraction form
    82,708.40/123,947.40 = 61,482.80/x
  3. Step 3: Cross multiply
    82,708.40x = 123,947.40 × 61,482.80
  4. Step 4: Simplify right side
    82,708.40x = 7,620,633,204.72
  5. Step 5: Solve for x
    x = 7,620,633,204.72/82,708.40
  6. Step 6: Final answer
    x = 92,138.56

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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.