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Finding the Fourth Proportional to 87,877, 121,270.18 and 47,590.76

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Solution

The fourth proportional to 87,877, 121,270.18 and 47,590.76 is: 65,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,877 : 121,270.18 = 47,590.76 : x
  2. Step 2: Convert to fraction form
    87,877/121,270.18 = 47,590.76/x
  3. Step 3: Cross multiply
    87,877x = 121,270.18 × 47,590.76
  4. Step 4: Simplify right side
    87,877x = 5,771,340,031.54
  5. Step 5: Solve for x
    x = 5,771,340,031.54/87,877
  6. Step 6: Final answer
    x = 65,675.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.