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Finding the Fourth Proportional to 138,769.35, 191,500.32 and 78,338.70

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Solution

The fourth proportional to 138,769.35, 191,500.32 and 78,338.70 is: 108,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.35 : 191,500.32 = 78,338.70 : x
  2. Step 2: Convert to fraction form
    138,769.35/191,500.32 = 78,338.70/x
  3. Step 3: Cross multiply
    138,769.35x = 191,500.32 × 78,338.70
  4. Step 4: Simplify right side
    138,769.35x = 15,001,886,118.38
  5. Step 5: Solve for x
    x = 15,001,886,118.38/138,769.35
  6. Step 6: Final answer
    x = 108,106.63

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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.