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Finding the Fourth Proportional to 274,925.72, 412,388.28 and 75,247.76

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Solution

The fourth proportional to 274,925.72, 412,388.28 and 75,247.76 is: 112,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,925.72 : 412,388.28 = 75,247.76 : x
  2. Step 2: Convert to fraction form
    274,925.72/412,388.28 = 75,247.76/x
  3. Step 3: Cross multiply
    274,925.72x = 412,388.28 × 75,247.76
  4. Step 4: Simplify right side
    274,925.72x = 31,031,294,320.25
  5. Step 5: Solve for x
    x = 31,031,294,320.25/274,925.72
  6. Step 6: Final answer
    x = 112,871.56

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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.