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Finding the Fourth Proportional to 72,381.70, 108,569.22 and 19,791.06

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Solution

The fourth proportional to 72,381.70, 108,569.22 and 19,791.06 is: 29,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,381.70 : 108,569.22 = 19,791.06 : x
  2. Step 2: Convert to fraction form
    72,381.70/108,569.22 = 19,791.06/x
  3. Step 3: Cross multiply
    72,381.70x = 108,569.22 × 19,791.06
  4. Step 4: Simplify right side
    72,381.70x = 2,148,699,947.17
  5. Step 5: Solve for x
    x = 2,148,699,947.17/72,381.70
  6. Step 6: Final answer
    x = 29,685.68

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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.