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Finding the Fourth Proportional to 72,230.58, 108,355.08 and 27,870

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Solution

The fourth proportional to 72,230.58, 108,355.08 and 27,870 is: 41,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230.58 : 108,355.08 = 27,870 : x
  2. Step 2: Convert to fraction form
    72,230.58/108,355.08 = 27,870/x
  3. Step 3: Cross multiply
    72,230.58x = 108,355.08 × 27,870
  4. Step 4: Simplify right side
    72,230.58x = 3,019,856,079.60
  5. Step 5: Solve for x
    x = 3,019,856,079.60/72,230.58
  6. Step 6: Final answer
    x = 41,808.55

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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.