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Finding the Fourth Proportional to 138,645.79, 191,354.73 and 78,233.56

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Solution

The fourth proportional to 138,645.79, 191,354.73 and 78,233.56 is: 107,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645.79 : 191,354.73 = 78,233.56 : x
  2. Step 2: Convert to fraction form
    138,645.79/191,354.73 = 78,233.56/x
  3. Step 3: Cross multiply
    138,645.79x = 191,354.73 × 78,233.56
  4. Step 4: Simplify right side
    138,645.79x = 14,970,361,750.74
  5. Step 5: Solve for x
    x = 14,970,361,750.74/138,645.79
  6. Step 6: Final answer
    x = 107,975.60

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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.