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Finding the Fourth Proportional to 71,697, 107,545.50 and 30,144

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Solution

The fourth proportional to 71,697, 107,545.50 and 30,144 is: 45,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697 : 107,545.50 = 30,144 : x
  2. Step 2: Convert to fraction form
    71,697/107,545.50 = 30,144/x
  3. Step 3: Cross multiply
    71,697x = 107,545.50 × 30,144
  4. Step 4: Simplify right side
    71,697x = 3,241,851,552
  5. Step 5: Solve for x
    x = 3,241,851,552/71,697
  6. Step 6: Final answer
    x = 45,216

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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.