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Finding the Fourth Proportional to 82,805.44, 123,572 and 73,947.84

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Solution

The fourth proportional to 82,805.44, 123,572 and 73,947.84 is: 110,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.44 : 123,572 = 73,947.84 : x
  2. Step 2: Convert to fraction form
    82,805.44/123,572 = 73,947.84/x
  3. Step 3: Cross multiply
    82,805.44x = 123,572 × 73,947.84
  4. Step 4: Simplify right side
    82,805.44x = 9,137,882,484.48
  5. Step 5: Solve for x
    x = 9,137,882,484.48/82,805.44
  6. Step 6: Final answer
    x = 110,353.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.