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Finding the Fourth Proportional to 100,491.84, 138,703.20 and 60,229.44

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Solution

The fourth proportional to 100,491.84, 138,703.20 and 60,229.44 is: 83,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491.84 : 138,703.20 = 60,229.44 : x
  2. Step 2: Convert to fraction form
    100,491.84/138,703.20 = 60,229.44/x
  3. Step 3: Cross multiply
    100,491.84x = 138,703.20 × 60,229.44
  4. Step 4: Simplify right side
    100,491.84x = 8,354,016,062.21
  5. Step 5: Solve for x
    x = 8,354,016,062.21/100,491.84
  6. Step 6: Final answer
    x = 83,131.29

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1.5x scale

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.