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Finding the Fourth Proportional to 82,761.20, 124,141.80 and 49,518.80

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Solution

The fourth proportional to 82,761.20, 124,141.80 and 49,518.80 is: 74,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761.20 : 124,141.80 = 49,518.80 : x
  2. Step 2: Convert to fraction form
    82,761.20/124,141.80 = 49,518.80/x
  3. Step 3: Cross multiply
    82,761.20x = 124,141.80 × 49,518.80
  4. Step 4: Simplify right side
    82,761.20x = 6,147,352,965.84
  5. Step 5: Solve for x
    x = 6,147,352,965.84/82,761.20
  6. Step 6: Final answer
    x = 74,278.20

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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.