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Finding the Fourth Proportional to 138,908.92, 191,684.84 and 78,482.10

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Solution

The fourth proportional to 138,908.92, 191,684.84 and 78,482.10 is: 108,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.92 : 191,684.84 = 78,482.10 : x
  2. Step 2: Convert to fraction form
    138,908.92/191,684.84 = 78,482.10/x
  3. Step 3: Cross multiply
    138,908.92x = 191,684.84 × 78,482.10
  4. Step 4: Simplify right side
    138,908.92x = 15,043,828,781.36
  5. Step 5: Solve for x
    x = 15,043,828,781.36/138,908.92
  6. Step 6: Final answer
    x = 108,299.95

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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.