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Finding the Fourth Proportional to 72,581.81, 108,872.72 and 19,991.30

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Solution

The fourth proportional to 72,581.81, 108,872.72 and 19,991.30 is: 29,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.81 : 108,872.72 = 19,991.30 : x
  2. Step 2: Convert to fraction form
    72,581.81/108,872.72 = 19,991.30/x
  3. Step 3: Cross multiply
    72,581.81x = 108,872.72 × 19,991.30
  4. Step 4: Simplify right side
    72,581.81x = 2,176,506,712.95
  5. Step 5: Solve for x
    x = 2,176,506,712.95/72,581.81
  6. Step 6: Final answer
    x = 29,986.94

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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.