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Finding the Fourth Proportional to 79,775.82, 119,677.96 and 26,471

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Solution

The fourth proportional to 79,775.82, 119,677.96 and 26,471 is: 39,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,775.82 : 119,677.96 = 26,471 : x
  2. Step 2: Convert to fraction form
    79,775.82/119,677.96 = 26,471/x
  3. Step 3: Cross multiply
    79,775.82x = 119,677.96 × 26,471
  4. Step 4: Simplify right side
    79,775.82x = 3,167,995,279.16
  5. Step 5: Solve for x
    x = 3,167,995,279.16/79,775.82
  6. Step 6: Final answer
    x = 39,711.22

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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.