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Finding the Fourth Proportional to 138,805.49, 191,560.67 and 78,377.67

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Solution

The fourth proportional to 138,805.49, 191,560.67 and 78,377.67 is: 108,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805.49 : 191,560.67 = 78,377.67 : x
  2. Step 2: Convert to fraction form
    138,805.49/191,560.67 = 78,377.67/x
  3. Step 3: Cross multiply
    138,805.49x = 191,560.67 × 78,377.67
  4. Step 4: Simplify right side
    138,805.49x = 15,014,079,174.18
  5. Step 5: Solve for x
    x = 15,014,079,174.18/138,805.49
  6. Step 6: Final answer
    x = 108,166.32

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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.