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Finding the Fourth Proportional to 65,743, 98,614.50 and 21,967

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Solution

The fourth proportional to 65,743, 98,614.50 and 21,967 is: 32,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743 : 98,614.50 = 21,967 : x
  2. Step 2: Convert to fraction form
    65,743/98,614.50 = 21,967/x
  3. Step 3: Cross multiply
    65,743x = 98,614.50 × 21,967
  4. Step 4: Simplify right side
    65,743x = 2,166,264,721.50
  5. Step 5: Solve for x
    x = 2,166,264,721.50/65,743
  6. Step 6: Final answer
    x = 32,950.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.