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Finding the Fourth Proportional to 135,405.71, 186,846.87 and 80,947.11

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Solution

The fourth proportional to 135,405.71, 186,846.87 and 80,947.11 is: 111,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,405.71 : 186,846.87 = 80,947.11 : x
  2. Step 2: Convert to fraction form
    135,405.71/186,846.87 = 80,947.11/x
  3. Step 3: Cross multiply
    135,405.71x = 186,846.87 × 80,947.11
  4. Step 4: Simplify right side
    135,405.71x = 15,124,714,687.95
  5. Step 5: Solve for x
    x = 15,124,714,687.95/135,405.71
  6. Step 6: Final answer
    x = 111,699.24

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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.