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Finding the Fourth Proportional to 80,409.31, 110,873.92 and 51,298.82

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Solution

The fourth proportional to 80,409.31, 110,873.92 and 51,298.82 is: 70,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.31 : 110,873.92 = 51,298.82 : x
  2. Step 2: Convert to fraction form
    80,409.31/110,873.92 = 51,298.82/x
  3. Step 3: Cross multiply
    80,409.31x = 110,873.92 × 51,298.82
  4. Step 4: Simplify right side
    80,409.31x = 5,687,701,264.77
  5. Step 5: Solve for x
    x = 5,687,701,264.77/80,409.31
  6. Step 6: Final answer
    x = 70,734.36

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1.5x scale

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.