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Finding the Fourth Proportional to 138,460.90, 191,076.78 and 78,032.47

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Solution

The fourth proportional to 138,460.90, 191,076.78 and 78,032.47 is: 107,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460.90 : 191,076.78 = 78,032.47 : x
  2. Step 2: Convert to fraction form
    138,460.90/191,076.78 = 78,032.47/x
  3. Step 3: Cross multiply
    138,460.90x = 191,076.78 × 78,032.47
  4. Step 4: Simplify right side
    138,460.90x = 14,910,193,103.05
  5. Step 5: Solve for x
    x = 14,910,193,103.05/138,460.90
  6. Step 6: Final answer
    x = 107,685.22

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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.