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Finding the Fourth Proportional to 138,984.93, 191,806.79 and 78,558.21

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Solution

The fourth proportional to 138,984.93, 191,806.79 and 78,558.21 is: 108,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,984.93 : 191,806.79 = 78,558.21 : x
  2. Step 2: Convert to fraction form
    138,984.93/191,806.79 = 78,558.21/x
  3. Step 3: Cross multiply
    138,984.93x = 191,806.79 × 78,558.21
  4. Step 4: Simplify right side
    138,984.93x = 15,067,997,695.45
  5. Step 5: Solve for x
    x = 15,067,997,695.45/138,984.93
  6. Step 6: Final answer
    x = 108,414.62

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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.