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Finding the Fourth Proportional to 87,091, 120,186.54 and 47,347

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Solution

The fourth proportional to 87,091, 120,186.54 and 47,347 is: 65,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,091 : 120,186.54 = 47,347 : x
  2. Step 2: Convert to fraction form
    87,091/120,186.54 = 47,347/x
  3. Step 3: Cross multiply
    87,091x = 120,186.54 × 47,347
  4. Step 4: Simplify right side
    87,091x = 5,690,472,109.38
  5. Step 5: Solve for x
    x = 5,690,472,109.38/87,091
  6. Step 6: Final answer
    x = 65,339.38

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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.