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Finding the Fourth Proportional to 73,778.20, 110,681.70 and 31,658.20

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Solution

The fourth proportional to 73,778.20, 110,681.70 and 31,658.20 is: 47,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,778.20 : 110,681.70 = 31,658.20 : x
  2. Step 2: Convert to fraction form
    73,778.20/110,681.70 = 31,658.20/x
  3. Step 3: Cross multiply
    73,778.20x = 110,681.70 × 31,658.20
  4. Step 4: Simplify right side
    73,778.20x = 3,503,983,394.94
  5. Step 5: Solve for x
    x = 3,503,983,394.94/73,778.20
  6. Step 6: Final answer
    x = 47,493.48

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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.