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Finding the Fourth Proportional to 71,648, 107,472.32 and 22,400

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Solution

The fourth proportional to 71,648, 107,472.32 and 22,400 is: 33,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648 : 107,472.32 = 22,400 : x
  2. Step 2: Convert to fraction form
    71,648/107,472.32 = 22,400/x
  3. Step 3: Cross multiply
    71,648x = 107,472.32 × 22,400
  4. Step 4: Simplify right side
    71,648x = 2,407,379,968
  5. Step 5: Solve for x
    x = 2,407,379,968/71,648
  6. Step 6: Final answer
    x = 33,600.10

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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.