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Finding the Fourth Proportional to 85,410.28, 128,122.14 and 23,079.88

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Solution

The fourth proportional to 85,410.28, 128,122.14 and 23,079.88 is: 34,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.28 : 128,122.14 = 23,079.88 : x
  2. Step 2: Convert to fraction form
    85,410.28/128,122.14 = 23,079.88/x
  3. Step 3: Cross multiply
    85,410.28x = 128,122.14 × 23,079.88
  4. Step 4: Simplify right side
    85,410.28x = 2,957,043,616.54
  5. Step 5: Solve for x
    x = 2,957,043,616.54/85,410.28
  6. Step 6: Final answer
    x = 34,621.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.