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Finding the Fourth Proportional to 65,694.32, 90,658.14 and 35,479.65

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Solution

The fourth proportional to 65,694.32, 90,658.14 and 35,479.65 is: 48,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.32 : 90,658.14 = 35,479.65 : x
  2. Step 2: Convert to fraction form
    65,694.32/90,658.14 = 35,479.65/x
  3. Step 3: Cross multiply
    65,694.32x = 90,658.14 × 35,479.65
  4. Step 4: Simplify right side
    65,694.32x = 3,216,519,583.13
  5. Step 5: Solve for x
    x = 3,216,519,583.13/65,694.32
  6. Step 6: Final answer
    x = 48,961.91

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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.