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Finding the Fourth Proportional to 65,678, 90,635.64 and 35,870

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Solution

The fourth proportional to 65,678, 90,635.64 and 35,870 is: 49,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678 : 90,635.64 = 35,870 : x
  2. Step 2: Convert to fraction form
    65,678/90,635.64 = 35,870/x
  3. Step 3: Cross multiply
    65,678x = 90,635.64 × 35,870
  4. Step 4: Simplify right side
    65,678x = 3,251,100,406.80
  5. Step 5: Solve for x
    x = 3,251,100,406.80/65,678
  6. Step 6: Final answer
    x = 49,500.60

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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.