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Finding the Fourth Proportional to 72,834.26, 109,252.80 and 20,242.98

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Solution

The fourth proportional to 72,834.26, 109,252.80 and 20,242.98 is: 30,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,834.26 : 109,252.80 = 20,242.98 : x
  2. Step 2: Convert to fraction form
    72,834.26/109,252.80 = 20,242.98/x
  3. Step 3: Cross multiply
    72,834.26x = 109,252.80 × 20,242.98
  4. Step 4: Simplify right side
    72,834.26x = 2,211,602,245.34
  5. Step 5: Solve for x
    x = 2,211,602,245.34/72,834.26
  6. Step 6: Final answer
    x = 30,364.86

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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.