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Finding the Fourth Proportional to 87,585, 120,867.78 and 47,841

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Solution

The fourth proportional to 87,585, 120,867.78 and 47,841 is: 66,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,585 : 120,867.78 = 47,841 : x
  2. Step 2: Convert to fraction form
    87,585/120,867.78 = 47,841/x
  3. Step 3: Cross multiply
    87,585x = 120,867.78 × 47,841
  4. Step 4: Simplify right side
    87,585x = 5,782,435,462.98
  5. Step 5: Solve for x
    x = 5,782,435,462.98/87,585
  6. Step 6: Final answer
    x = 66,020.84

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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.