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Finding the Fourth Proportional to 80,223.67, 120,296.52 and 40,225.47

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Solution

The fourth proportional to 80,223.67, 120,296.52 and 40,225.47 is: 60,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,223.67 : 120,296.52 = 40,225.47 : x
  2. Step 2: Convert to fraction form
    80,223.67/120,296.52 = 40,225.47/x
  3. Step 3: Cross multiply
    80,223.67x = 120,296.52 × 40,225.47
  4. Step 4: Simplify right side
    80,223.67x = 4,838,984,056.36
  5. Step 5: Solve for x
    x = 4,838,984,056.36/80,223.67
  6. Step 6: Final answer
    x = 60,318.66

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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.