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Finding the Fourth Proportional to 85,474.61, 117,959.04 and 51,493.65

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Solution

The fourth proportional to 85,474.61, 117,959.04 and 51,493.65 is: 71,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,474.61 : 117,959.04 = 51,493.65 : x
  2. Step 2: Convert to fraction form
    85,474.61/117,959.04 = 51,493.65/x
  3. Step 3: Cross multiply
    85,474.61x = 117,959.04 × 51,493.65
  4. Step 4: Simplify right side
    85,474.61x = 6,074,140,930.30
  5. Step 5: Solve for x
    x = 6,074,140,930.30/85,474.61
  6. Step 6: Final answer
    x = 71,063.69

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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.