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Finding the Fourth Proportional to 65,816, 90,826.08 and 36,008

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Solution

The fourth proportional to 65,816, 90,826.08 and 36,008 is: 49,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816 : 90,826.08 = 36,008 : x
  2. Step 2: Convert to fraction form
    65,816/90,826.08 = 36,008/x
  3. Step 3: Cross multiply
    65,816x = 90,826.08 × 36,008
  4. Step 4: Simplify right side
    65,816x = 3,270,465,488.64
  5. Step 5: Solve for x
    x = 3,270,465,488.64/65,816
  6. Step 6: Final answer
    x = 49,691.04

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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.