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Finding the Fourth Proportional to 65,313, 90,132.66 and 35,505

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Solution

The fourth proportional to 65,313, 90,132.66 and 35,505 is: 48,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313 : 90,132.66 = 35,505 : x
  2. Step 2: Convert to fraction form
    65,313/90,132.66 = 35,505/x
  3. Step 3: Cross multiply
    65,313x = 90,132.66 × 35,505
  4. Step 4: Simplify right side
    65,313x = 3,200,160,093.30
  5. Step 5: Solve for x
    x = 3,200,160,093.30/65,313
  6. Step 6: Final answer
    x = 48,997.29

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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.