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Finding the Fourth Proportional to 221,378.93, 332,035.28 and 61,438

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Solution

The fourth proportional to 221,378.93, 332,035.28 and 61,438 is: 92,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,378.93 : 332,035.28 = 61,438 : x
  2. Step 2: Convert to fraction form
    221,378.93/332,035.28 = 61,438/x
  3. Step 3: Cross multiply
    221,378.93x = 332,035.28 × 61,438
  4. Step 4: Simplify right side
    221,378.93x = 20,399,583,532.64
  5. Step 5: Solve for x
    x = 20,399,583,532.64/221,378.93
  6. Step 6: Final answer
    x = 92,147.81

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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.