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Finding the Fourth Proportional to 100,229, 138,320.34 and 55,517

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Solution

The fourth proportional to 100,229, 138,320.34 and 55,517 is: 76,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,229 : 138,320.34 = 55,517 : x
  2. Step 2: Convert to fraction form
    100,229/138,320.34 = 55,517/x
  3. Step 3: Cross multiply
    100,229x = 138,320.34 × 55,517
  4. Step 4: Simplify right side
    100,229x = 7,679,130,315.78
  5. Step 5: Solve for x
    x = 7,679,130,315.78/100,229
  6. Step 6: Final answer
    x = 76,615.85

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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.