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Finding the Fourth Proportional to 72,138.66, 108,206.37 and 32,667.18

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Solution

The fourth proportional to 72,138.66, 108,206.37 and 32,667.18 is: 49,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,138.66 : 108,206.37 = 32,667.18 : x
  2. Step 2: Convert to fraction form
    72,138.66/108,206.37 = 32,667.18/x
  3. Step 3: Cross multiply
    72,138.66x = 108,206.37 × 32,667.18
  4. Step 4: Simplify right side
    72,138.66x = 3,534,796,965.94
  5. Step 5: Solve for x
    x = 3,534,796,965.94/72,138.66
  6. Step 6: Final answer
    x = 49,000.04

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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.