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Finding the Fourth Proportional to 71,307.80, 106,961.70 and 36,315.80

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Solution

The fourth proportional to 71,307.80, 106,961.70 and 36,315.80 is: 54,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,307.80 : 106,961.70 = 36,315.80 : x
  2. Step 2: Convert to fraction form
    71,307.80/106,961.70 = 36,315.80/x
  3. Step 3: Cross multiply
    71,307.80x = 106,961.70 × 36,315.80
  4. Step 4: Simplify right side
    71,307.80x = 3,884,399,704.86
  5. Step 5: Solve for x
    x = 3,884,399,704.86/71,307.80
  6. Step 6: Final answer
    x = 54,473.70

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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.