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Finding the Fourth Proportional to 75,123.90, 103,679.21 and 47,900.95

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Solution

The fourth proportional to 75,123.90, 103,679.21 and 47,900.95 is: 66,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123.90 : 103,679.21 = 47,900.95 : x
  2. Step 2: Convert to fraction form
    75,123.90/103,679.21 = 47,900.95/x
  3. Step 3: Cross multiply
    75,123.90x = 103,679.21 × 47,900.95
  4. Step 4: Simplify right side
    75,123.90x = 4,966,332,514.80
  5. Step 5: Solve for x
    x = 4,966,332,514.80/75,123.90
  6. Step 6: Final answer
    x = 66,108.56

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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.