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Finding the Fourth Proportional to 65,247, 90,040.95 and 35,439

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Solution

The fourth proportional to 65,247, 90,040.95 and 35,439 is: 48,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,247 : 90,040.95 = 35,439 : x
  2. Step 2: Convert to fraction form
    65,247/90,040.95 = 35,439/x
  3. Step 3: Cross multiply
    65,247x = 90,040.95 × 35,439
  4. Step 4: Simplify right side
    65,247x = 3,190,961,227.05
  5. Step 5: Solve for x
    x = 3,190,961,227.05/65,247
  6. Step 6: Final answer
    x = 48,905.87

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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.