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Finding the Fourth Proportional to 100,013.61, 138,013.20 and 54,682.57

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Solution

The fourth proportional to 100,013.61, 138,013.20 and 54,682.57 is: 75,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.61 : 138,013.20 = 54,682.57 : x
  2. Step 2: Convert to fraction form
    100,013.61/138,013.20 = 54,682.57/x
  3. Step 3: Cross multiply
    100,013.61x = 138,013.20 × 54,682.57
  4. Step 4: Simplify right side
    100,013.61x = 7,546,916,469.92
  5. Step 5: Solve for x
    x = 7,546,916,469.92/100,013.61
  6. Step 6: Final answer
    x = 75,458.89

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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.