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Finding the Fourth Proportional to 72,005, 99,366.90 and 42,197

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Solution

The fourth proportional to 72,005, 99,366.90 and 42,197 is: 58,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,005 : 99,366.90 = 42,197 : x
  2. Step 2: Convert to fraction form
    72,005/99,366.90 = 42,197/x
  3. Step 3: Cross multiply
    72,005x = 99,366.90 × 42,197
  4. Step 4: Simplify right side
    72,005x = 4,192,985,079.30
  5. Step 5: Solve for x
    x = 4,192,985,079.30/72,005
  6. Step 6: Final answer
    x = 58,231.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.