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Finding the Fourth Proportional to 85,478, 128,202.12 and 23,133.92

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Solution

The fourth proportional to 85,478, 128,202.12 and 23,133.92 is: 34,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478 : 128,202.12 = 23,133.92 : x
  2. Step 2: Convert to fraction form
    85,478/128,202.12 = 23,133.92/x
  3. Step 3: Cross multiply
    85,478x = 128,202.12 × 23,133.92
  4. Step 4: Simplify right side
    85,478x = 2,965,817,587.91
  5. Step 5: Solve for x
    x = 2,965,817,587.91/85,478
  6. Step 6: Final answer
    x = 34,696.85

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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.