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Finding the Fourth Proportional to 81,542, 112,528.16 and 47,573.84

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Solution

The fourth proportional to 81,542, 112,528.16 and 47,573.84 is: 65,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,542 : 112,528.16 = 47,573.84 : x
  2. Step 2: Convert to fraction form
    81,542/112,528.16 = 47,573.84/x
  3. Step 3: Cross multiply
    81,542x = 112,528.16 × 47,573.84
  4. Step 4: Simplify right side
    81,542x = 5,353,396,679.33
  5. Step 5: Solve for x
    x = 5,353,396,679.33/81,542
  6. Step 6: Final answer
    x = 65,652.02

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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.