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Finding the Fourth Proportional to 65,374, 90,217.56 and 35,566

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Solution

The fourth proportional to 65,374, 90,217.56 and 35,566 is: 49,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374 : 90,217.56 = 35,566 : x
  2. Step 2: Convert to fraction form
    65,374/90,217.56 = 35,566/x
  3. Step 3: Cross multiply
    65,374x = 90,217.56 × 35,566
  4. Step 4: Simplify right side
    65,374x = 3,208,677,738.96
  5. Step 5: Solve for x
    x = 3,208,677,738.96/65,374
  6. Step 6: Final answer
    x = 49,081.86

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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.