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Finding the Fourth Proportional to 137,105.10, 205,657.65 and 81,809.10

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Solution

The fourth proportional to 137,105.10, 205,657.65 and 81,809.10 is: 122,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,105.10 : 205,657.65 = 81,809.10 : x
  2. Step 2: Convert to fraction form
    137,105.10/205,657.65 = 81,809.10/x
  3. Step 3: Cross multiply
    137,105.10x = 205,657.65 × 81,809.10
  4. Step 4: Simplify right side
    137,105.10x = 16,824,667,254.62
  5. Step 5: Solve for x
    x = 16,824,667,254.62/137,105.10
  6. Step 6: Final answer
    x = 122,713.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.