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Finding the Fourth Proportional to 65,671.92, 98,523.60 and 21,298.80

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Solution

The fourth proportional to 65,671.92, 98,523.60 and 21,298.80 is: 31,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,671.92 : 98,523.60 = 21,298.80 : x
  2. Step 2: Convert to fraction form
    65,671.92/98,523.60 = 21,298.80/x
  3. Step 3: Cross multiply
    65,671.92x = 98,523.60 × 21,298.80
  4. Step 4: Simplify right side
    65,671.92x = 2,098,434,451.68
  5. Step 5: Solve for x
    x = 2,098,434,451.68/65,671.92
  6. Step 6: Final answer
    x = 31,953.30

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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.