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Finding the Fourth Proportional to 72,192.17, 108,306.70 and 27,807

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Solution

The fourth proportional to 72,192.17, 108,306.70 and 27,807 is: 41,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,192.17 : 108,306.70 = 27,807 : x
  2. Step 2: Convert to fraction form
    72,192.17/108,306.70 = 27,807/x
  3. Step 3: Cross multiply
    72,192.17x = 108,306.70 × 27,807
  4. Step 4: Simplify right side
    72,192.17x = 3,011,684,406.90
  5. Step 5: Solve for x
    x = 3,011,684,406.90/72,192.17
  6. Step 6: Final answer
    x = 41,717.60

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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.