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Finding the Fourth Proportional to 65,803.28, 98,682.83 and 21,419.60

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Solution

The fourth proportional to 65,803.28, 98,682.83 and 21,419.60 is: 32,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.28 : 98,682.83 = 21,419.60 : x
  2. Step 2: Convert to fraction form
    65,803.28/98,682.83 = 21,419.60/x
  3. Step 3: Cross multiply
    65,803.28x = 98,682.83 × 21,419.60
  4. Step 4: Simplify right side
    65,803.28x = 2,113,746,144.96
  5. Step 5: Solve for x
    x = 2,113,746,144.96/65,803.28
  6. Step 6: Final answer
    x = 32,122.20

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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.