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Finding the Fourth Proportional to 138,641.44, 191,325 and 78,212.02

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Solution

The fourth proportional to 138,641.44, 191,325 and 78,212.02 is: 107,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.44 : 191,325 = 78,212.02 : x
  2. Step 2: Convert to fraction form
    138,641.44/191,325 = 78,212.02/x
  3. Step 3: Cross multiply
    138,641.44x = 191,325 × 78,212.02
  4. Step 4: Simplify right side
    138,641.44x = 14,963,914,726.50
  5. Step 5: Solve for x
    x = 14,963,914,726.50/138,641.44
  6. Step 6: Final answer
    x = 107,932.48

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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.