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Finding the Fourth Proportional to 138,950.54, 191,731.05 and 78,520.69

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Solution

The fourth proportional to 138,950.54, 191,731.05 and 78,520.69 is: 108,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,950.54 : 191,731.05 = 78,520.69 : x
  2. Step 2: Convert to fraction form
    138,950.54/191,731.05 = 78,520.69/x
  3. Step 3: Cross multiply
    138,950.54x = 191,731.05 × 78,520.69
  4. Step 4: Simplify right side
    138,950.54x = 15,054,854,580.09
  5. Step 5: Solve for x
    x = 15,054,854,580.09/138,950.54
  6. Step 6: Final answer
    x = 108,346.86

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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.