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Finding the Fourth Proportional to 138,672.12, 191,353.14 and 78,246.12

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Solution

The fourth proportional to 138,672.12, 191,353.14 and 78,246.12 is: 107,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672.12 : 191,353.14 = 78,246.12 : x
  2. Step 2: Convert to fraction form
    138,672.12/191,353.14 = 78,246.12/x
  3. Step 3: Cross multiply
    138,672.12x = 191,353.14 × 78,246.12
  4. Step 4: Simplify right side
    138,672.12x = 14,972,640,754.82
  5. Step 5: Solve for x
    x = 14,972,640,754.82/138,672.12
  6. Step 6: Final answer
    x = 107,971.53

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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.