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Finding the Fourth Proportional to 65,523, 90,421.78 and 35,715

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Solution

The fourth proportional to 65,523, 90,421.78 and 35,715 is: 49,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,523 : 90,421.78 = 35,715 : x
  2. Step 2: Convert to fraction form
    65,523/90,421.78 = 35,715/x
  3. Step 3: Cross multiply
    65,523x = 90,421.78 × 35,715
  4. Step 4: Simplify right side
    65,523x = 3,229,413,872.70
  5. Step 5: Solve for x
    x = 3,229,413,872.70/65,523
  6. Step 6: Final answer
    x = 49,286.72

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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.