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Finding the Fourth Proportional to 72,013.85, 108,020.78 and 19,423.33

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Solution

The fourth proportional to 72,013.85, 108,020.78 and 19,423.33 is: 29,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,013.85 : 108,020.78 = 19,423.33 : x
  2. Step 2: Convert to fraction form
    72,013.85/108,020.78 = 19,423.33/x
  3. Step 3: Cross multiply
    72,013.85x = 108,020.78 × 19,423.33
  4. Step 4: Simplify right side
    72,013.85x = 2,098,122,619.58
  5. Step 5: Solve for x
    x = 2,098,122,619.58/72,013.85
  6. Step 6: Final answer
    x = 29,134.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.