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Finding the Fourth Proportional to 72,982.81, 109,461.66 and 20,379.79

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Solution

The fourth proportional to 72,982.81, 109,461.66 and 20,379.79 is: 30,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.81 : 109,461.66 = 20,379.79 : x
  2. Step 2: Convert to fraction form
    72,982.81/109,461.66 = 20,379.79/x
  3. Step 3: Cross multiply
    72,982.81x = 109,461.66 × 20,379.79
  4. Step 4: Simplify right side
    72,982.81x = 2,230,805,643.85
  5. Step 5: Solve for x
    x = 2,230,805,643.85/72,982.81
  6. Step 6: Final answer
    x = 30,566.18

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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.