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Finding the Fourth Proportional to 34,169.65, 47,151.78 and 19,829.90

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Solution

The fourth proportional to 34,169.65, 47,151.78 and 19,829.90 is: 27,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169.65 : 47,151.78 = 19,829.90 : x
  2. Step 2: Convert to fraction form
    34,169.65/47,151.78 = 19,829.90/x
  3. Step 3: Cross multiply
    34,169.65x = 47,151.78 × 19,829.90
  4. Step 4: Simplify right side
    34,169.65x = 935,015,082.22
  5. Step 5: Solve for x
    x = 935,015,082.22/34,169.65
  6. Step 6: Final answer
    x = 27,363.91

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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.