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Finding the Fourth Proportional to 82,047.70, 123,071.55 and 26,643.70

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Solution

The fourth proportional to 82,047.70, 123,071.55 and 26,643.70 is: 39,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.70 : 123,071.55 = 26,643.70 : x
  2. Step 2: Convert to fraction form
    82,047.70/123,071.55 = 26,643.70/x
  3. Step 3: Cross multiply
    82,047.70x = 123,071.55 × 26,643.70
  4. Step 4: Simplify right side
    82,047.70x = 3,279,081,456.74
  5. Step 5: Solve for x
    x = 3,279,081,456.74/82,047.70
  6. Step 6: Final answer
    x = 39,965.55

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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.