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Finding the Fourth Proportional to 65,788.50, 98,633.34 and 21,388.90

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Solution

The fourth proportional to 65,788.50, 98,633.34 and 21,388.90 is: 32,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.50 : 98,633.34 = 21,388.90 : x
  2. Step 2: Convert to fraction form
    65,788.50/98,633.34 = 21,388.90/x
  3. Step 3: Cross multiply
    65,788.50x = 98,633.34 × 21,388.90
  4. Step 4: Simplify right side
    65,788.50x = 2,109,658,645.93
  5. Step 5: Solve for x
    x = 2,109,658,645.93/65,788.50
  6. Step 6: Final answer
    x = 32,067.29

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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.