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Finding the Fourth Proportional to 65,854, 98,789.68 and 21,465.20

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Solution

The fourth proportional to 65,854, 98,789.68 and 21,465.20 is: 32,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854 : 98,789.68 = 21,465.20 : x
  2. Step 2: Convert to fraction form
    65,854/98,789.68 = 21,465.20/x
  3. Step 3: Cross multiply
    65,854x = 98,789.68 × 21,465.20
  4. Step 4: Simplify right side
    65,854x = 2,120,540,239.14
  5. Step 5: Solve for x
    x = 2,120,540,239.14/65,854
  6. Step 6: Final answer
    x = 32,200.63

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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.