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Finding the Fourth Proportional to 100,238.58, 138,013.65 and 85,101.30

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Solution

The fourth proportional to 100,238.58, 138,013.65 and 85,101.30 is: 117,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.58 : 138,013.65 = 85,101.30 : x
  2. Step 2: Convert to fraction form
    100,238.58/138,013.65 = 85,101.30/x
  3. Step 3: Cross multiply
    100,238.58x = 138,013.65 × 85,101.30
  4. Step 4: Simplify right side
    100,238.58x = 11,745,141,032.75
  5. Step 5: Solve for x
    x = 11,745,141,032.75/100,238.58
  6. Step 6: Final answer
    x = 117,171.86

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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.