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Finding the Fourth Proportional to 138,180, 190,697.04 and 78,564

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Solution

The fourth proportional to 138,180, 190,697.04 and 78,564 is: 108,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,180 : 190,697.04 = 78,564 : x
  2. Step 2: Convert to fraction form
    138,180/190,697.04 = 78,564/x
  3. Step 3: Cross multiply
    138,180x = 190,697.04 × 78,564
  4. Step 4: Simplify right side
    138,180x = 14,981,922,250.56
  5. Step 5: Solve for x
    x = 14,981,922,250.56/138,180
  6. Step 6: Final answer
    x = 108,423.23

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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.