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Finding the Fourth Proportional to 75,691.80, 104,404.68 and 47,348.28

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Solution

The fourth proportional to 75,691.80, 104,404.68 and 47,348.28 is: 65,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691.80 : 104,404.68 = 47,348.28 : x
  2. Step 2: Convert to fraction form
    75,691.80/104,404.68 = 47,348.28/x
  3. Step 3: Cross multiply
    75,691.80x = 104,404.68 × 47,348.28
  4. Step 4: Simplify right side
    75,691.80x = 4,943,382,021.95
  5. Step 5: Solve for x
    x = 4,943,382,021.95/75,691.80
  6. Step 6: Final answer
    x = 65,309.35

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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.