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Finding the Fourth Proportional to 65,775, 90,769.50 and 35,967

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Solution

The fourth proportional to 65,775, 90,769.50 and 35,967 is: 49,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,775 : 90,769.50 = 35,967 : x
  2. Step 2: Convert to fraction form
    65,775/90,769.50 = 35,967/x
  3. Step 3: Cross multiply
    65,775x = 90,769.50 × 35,967
  4. Step 4: Simplify right side
    65,775x = 3,264,706,606.50
  5. Step 5: Solve for x
    x = 3,264,706,606.50/65,775
  6. Step 6: Final answer
    x = 49,634.46

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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.