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Finding the Fourth Proportional to 138,524.76, 191,164.20 and 78,908.76

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Solution

The fourth proportional to 138,524.76, 191,164.20 and 78,908.76 is: 108,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524.76 : 191,164.20 = 78,908.76 : x
  2. Step 2: Convert to fraction form
    138,524.76/191,164.20 = 78,908.76/x
  3. Step 3: Cross multiply
    138,524.76x = 191,164.20 × 78,908.76
  4. Step 4: Simplify right side
    138,524.76x = 15,084,529,978.39
  5. Step 5: Solve for x
    x = 15,084,529,978.39/138,524.76
  6. Step 6: Final answer
    x = 108,894.11

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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.