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Finding the Fourth Proportional to 65,819.64, 98,729.38 and 21,446.32

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Solution

The fourth proportional to 65,819.64, 98,729.38 and 21,446.32 is: 32,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819.64 : 98,729.38 = 21,446.32 : x
  2. Step 2: Convert to fraction form
    65,819.64/98,729.38 = 21,446.32/x
  3. Step 3: Cross multiply
    65,819.64x = 98,729.38 × 21,446.32
  4. Step 4: Simplify right side
    65,819.64x = 2,117,381,876.88
  5. Step 5: Solve for x
    x = 2,117,381,876.88/65,819.64
  6. Step 6: Final answer
    x = 32,169.45

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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.