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Finding the Fourth Proportional to 39,219.76, 54,123.01 and 22,456

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Solution

The fourth proportional to 39,219.76, 54,123.01 and 22,456 is: 30,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,219.76 : 54,123.01 = 22,456 : x
  2. Step 2: Convert to fraction form
    39,219.76/54,123.01 = 22,456/x
  3. Step 3: Cross multiply
    39,219.76x = 54,123.01 × 22,456
  4. Step 4: Simplify right side
    39,219.76x = 1,215,386,312.56
  5. Step 5: Solve for x
    x = 1,215,386,312.56/39,219.76
  6. Step 6: Final answer
    x = 30,989.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.