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Finding the Fourth Proportional to 72,409.68, 99,919.90 and 40,572.42

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Solution

The fourth proportional to 72,409.68, 99,919.90 and 40,572.42 is: 55,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409.68 : 99,919.90 = 40,572.42 : x
  2. Step 2: Convert to fraction form
    72,409.68/99,919.90 = 40,572.42/x
  3. Step 3: Cross multiply
    72,409.68x = 99,919.90 × 40,572.42
  4. Step 4: Simplify right side
    72,409.68x = 4,053,992,149.16
  5. Step 5: Solve for x
    x = 4,053,992,149.16/72,409.68
  6. Step 6: Final answer
    x = 55,986.88

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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.