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Finding the Fourth Proportional to 82,643.70, 123,965.55 and 71,708.70

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Solution

The fourth proportional to 82,643.70, 123,965.55 and 71,708.70 is: 107,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.70 : 123,965.55 = 71,708.70 : x
  2. Step 2: Convert to fraction form
    82,643.70/123,965.55 = 71,708.70/x
  3. Step 3: Cross multiply
    82,643.70x = 123,965.55 × 71,708.70
  4. Step 4: Simplify right side
    82,643.70x = 8,889,408,435.29
  5. Step 5: Solve for x
    x = 8,889,408,435.29/82,643.70
  6. Step 6: Final answer
    x = 107,563.05

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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.