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Finding the Fourth Proportional to 72,193.71, 108,309.02 and 27,808.55

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Solution

The fourth proportional to 72,193.71, 108,309.02 and 27,808.55 is: 41,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,193.71 : 108,309.02 = 27,808.55 : x
  2. Step 2: Convert to fraction form
    72,193.71/108,309.02 = 27,808.55/x
  3. Step 3: Cross multiply
    72,193.71x = 108,309.02 × 27,808.55
  4. Step 4: Simplify right side
    72,193.71x = 3,011,916,117.53
  5. Step 5: Solve for x
    x = 3,011,916,117.53/72,193.71
  6. Step 6: Final answer
    x = 41,719.92

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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.