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Finding the Fourth Proportional to 65,742, 98,613 and 21,966

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Solution

The fourth proportional to 65,742, 98,613 and 21,966 is: 32,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 98,613 = 21,966 : x
  2. Step 2: Convert to fraction form
    65,742/98,613 = 21,966/x
  3. Step 3: Cross multiply
    65,742x = 98,613 × 21,966
  4. Step 4: Simplify right side
    65,742x = 2,166,133,158
  5. Step 5: Solve for x
    x = 2,166,133,158/65,742
  6. Step 6: Final answer
    x = 32,949

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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.