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Finding the Fourth Proportional to 72,169.76, 108,254.78 and 27,817.40

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Solution

The fourth proportional to 72,169.76, 108,254.78 and 27,817.40 is: 41,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,169.76 : 108,254.78 = 27,817.40 : x
  2. Step 2: Convert to fraction form
    72,169.76/108,254.78 = 27,817.40/x
  3. Step 3: Cross multiply
    72,169.76x = 108,254.78 × 27,817.40
  4. Step 4: Simplify right side
    72,169.76x = 3,011,365,836.81
  5. Step 5: Solve for x
    x = 3,011,365,836.81/72,169.76
  6. Step 6: Final answer
    x = 41,726.15

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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.