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Finding the Fourth Proportional to 138,662.42, 191,337.66 and 78,229.53

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Solution

The fourth proportional to 138,662.42, 191,337.66 and 78,229.53 is: 107,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,662.42 : 191,337.66 = 78,229.53 : x
  2. Step 2: Convert to fraction form
    138,662.42/191,337.66 = 78,229.53/x
  3. Step 3: Cross multiply
    138,662.42x = 191,337.66 × 78,229.53
  4. Step 4: Simplify right side
    138,662.42x = 14,968,255,213.10
  5. Step 5: Solve for x
    x = 14,968,255,213.10/138,662.42
  6. Step 6: Final answer
    x = 107,947.46

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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.