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Finding the Fourth Proportional to 72,381.78, 108,559.90 and 27,972.02

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Solution

The fourth proportional to 72,381.78, 108,559.90 and 27,972.02 is: 41,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,381.78 : 108,559.90 = 27,972.02 : x
  2. Step 2: Convert to fraction form
    72,381.78/108,559.90 = 27,972.02/x
  3. Step 3: Cross multiply
    72,381.78x = 108,559.90 × 27,972.02
  4. Step 4: Simplify right side
    72,381.78x = 3,036,639,694.00
  5. Step 5: Solve for x
    x = 3,036,639,694.00/72,381.78
  6. Step 6: Final answer
    x = 41,953.10

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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.