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Finding the Fourth Proportional to 138,648.27, 191,333.84 and 78,219.44

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Solution

The fourth proportional to 138,648.27, 191,333.84 and 78,219.44 is: 107,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648.27 : 191,333.84 = 78,219.44 : x
  2. Step 2: Convert to fraction form
    138,648.27/191,333.84 = 78,219.44/x
  3. Step 3: Cross multiply
    138,648.27x = 191,333.84 × 78,219.44
  4. Step 4: Simplify right side
    138,648.27x = 14,966,024,470.08
  5. Step 5: Solve for x
    x = 14,966,024,470.08/138,648.27
  6. Step 6: Final answer
    x = 107,942.38

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1.5x scale

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.