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Finding the Fourth Proportional to 65,745, 90,728.10 and 35,937

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Solution

The fourth proportional to 65,745, 90,728.10 and 35,937 is: 49,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745 : 90,728.10 = 35,937 : x
  2. Step 2: Convert to fraction form
    65,745/90,728.10 = 35,937/x
  3. Step 3: Cross multiply
    65,745x = 90,728.10 × 35,937
  4. Step 4: Simplify right side
    65,745x = 3,260,495,729.70
  5. Step 5: Solve for x
    x = 3,260,495,729.70/65,745
  6. Step 6: Final answer
    x = 49,593.06

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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.