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Finding the Fourth Proportional to 78,825.92, 108,793.28 and 75,282.88

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Solution

The fourth proportional to 78,825.92, 108,793.28 and 75,282.88 is: 103,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.92 : 108,793.28 = 75,282.88 : x
  2. Step 2: Convert to fraction form
    78,825.92/108,793.28 = 75,282.88/x
  3. Step 3: Cross multiply
    78,825.92x = 108,793.28 × 75,282.88
  4. Step 4: Simplify right side
    78,825.92x = 8,190,271,443.05
  5. Step 5: Solve for x
    x = 8,190,271,443.05/78,825.92
  6. Step 6: Final answer
    x = 103,903.28

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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.