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Finding the Fourth Proportional to 65,768.75, 98,654.04 and 21,395.74

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Solution

The fourth proportional to 65,768.75, 98,654.04 and 21,395.74 is: 32,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768.75 : 98,654.04 = 21,395.74 : x
  2. Step 2: Convert to fraction form
    65,768.75/98,654.04 = 21,395.74/x
  3. Step 3: Cross multiply
    65,768.75x = 98,654.04 × 21,395.74
  4. Step 4: Simplify right side
    65,768.75x = 2,110,776,189.79
  5. Step 5: Solve for x
    x = 2,110,776,189.79/65,768.75
  6. Step 6: Final answer
    x = 32,093.91

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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.