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Finding the Fourth Proportional to 65,250, 90,046.08 and 35,442

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Solution

The fourth proportional to 65,250, 90,046.08 and 35,442 is: 48,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,250 : 90,046.08 = 35,442 : x
  2. Step 2: Convert to fraction form
    65,250/90,046.08 = 35,442/x
  3. Step 3: Cross multiply
    65,250x = 90,046.08 × 35,442
  4. Step 4: Simplify right side
    65,250x = 3,191,413,167.36
  5. Step 5: Solve for x
    x = 3,191,413,167.36/65,250
  6. Step 6: Final answer
    x = 48,910.55

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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.