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Finding the Fourth Proportional to 131,805, 197,686.54 and 43,057.80

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Solution

The fourth proportional to 131,805, 197,686.54 and 43,057.80 is: 64,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805 : 197,686.54 = 43,057.80 : x
  2. Step 2: Convert to fraction form
    131,805/197,686.54 = 43,057.80/x
  3. Step 3: Cross multiply
    131,805x = 197,686.54 × 43,057.80
  4. Step 4: Simplify right side
    131,805x = 8,511,947,502.01
  5. Step 5: Solve for x
    x = 8,511,947,502.01/131,805
  6. Step 6: Final answer
    x = 64,579.85

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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.