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Finding the Fourth Proportional to 138,071.01, 206,774.34 and 78,726.76

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Solution

The fourth proportional to 138,071.01, 206,774.34 and 78,726.76 is: 117,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,071.01 : 206,774.34 = 78,726.76 : x
  2. Step 2: Convert to fraction form
    138,071.01/206,774.34 = 78,726.76/x
  3. Step 3: Cross multiply
    138,071.01x = 206,774.34 × 78,726.76
  4. Step 4: Simplify right side
    138,071.01x = 16,278,673,839.34
  5. Step 5: Solve for x
    x = 16,278,673,839.34/138,071.01
  6. Step 6: Final answer
    x = 117,900.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.