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Finding the Fourth Proportional to 138,671.96, 191,376.33 and 78,220.54

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Solution

The fourth proportional to 138,671.96, 191,376.33 and 78,220.54 is: 107,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671.96 : 191,376.33 = 78,220.54 : x
  2. Step 2: Convert to fraction form
    138,671.96/191,376.33 = 78,220.54/x
  3. Step 3: Cross multiply
    138,671.96x = 191,376.33 × 78,220.54
  4. Step 4: Simplify right side
    138,671.96x = 14,969,559,484.72
  5. Step 5: Solve for x
    x = 14,969,559,484.72/138,671.96
  6. Step 6: Final answer
    x = 107,949.44

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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.