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Finding the Fourth Proportional to 65,680, 90,638.40 and 35,872

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Solution

The fourth proportional to 65,680, 90,638.40 and 35,872 is: 49,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,680 : 90,638.40 = 35,872 : x
  2. Step 2: Convert to fraction form
    65,680/90,638.40 = 35,872/x
  3. Step 3: Cross multiply
    65,680x = 90,638.40 × 35,872
  4. Step 4: Simplify right side
    65,680x = 3,251,380,684.80
  5. Step 5: Solve for x
    x = 3,251,380,684.80/65,680
  6. Step 6: Final answer
    x = 49,503.36

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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.