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Finding the Fourth Proportional to 138,568.91, 191,222.42 and 78,138.45

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Solution

The fourth proportional to 138,568.91, 191,222.42 and 78,138.45 is: 107,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,568.91 : 191,222.42 = 78,138.45 : x
  2. Step 2: Convert to fraction form
    138,568.91/191,222.42 = 78,138.45/x
  3. Step 3: Cross multiply
    138,568.91x = 191,222.42 × 78,138.45
  4. Step 4: Simplify right side
    138,568.91x = 14,941,823,113.36
  5. Step 5: Solve for x
    x = 14,941,823,113.36/138,568.91
  6. Step 6: Final answer
    x = 107,829.55

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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.