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Finding the Fourth Proportional to 81,451.40, 112,458 and 50,871.20

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Solution

The fourth proportional to 81,451.40, 112,458 and 50,871.20 is: 70,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,451.40 : 112,458 = 50,871.20 : x
  2. Step 2: Convert to fraction form
    81,451.40/112,458 = 50,871.20/x
  3. Step 3: Cross multiply
    81,451.40x = 112,458 × 50,871.20
  4. Step 4: Simplify right side
    81,451.40x = 5,720,873,409.60
  5. Step 5: Solve for x
    x = 5,720,873,409.60/81,451.40
  6. Step 6: Final answer
    x = 70,236.65

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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.