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Finding the Fourth Proportional to 100,020.80, 149,768.76 and 64,853.84

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Solution

The fourth proportional to 100,020.80, 149,768.76 and 64,853.84 is: 97,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.80 : 149,768.76 = 64,853.84 : x
  2. Step 2: Convert to fraction form
    100,020.80/149,768.76 = 64,853.84/x
  3. Step 3: Cross multiply
    100,020.80x = 149,768.76 × 64,853.84
  4. Step 4: Simplify right side
    100,020.80x = 9,713,079,198.04
  5. Step 5: Solve for x
    x = 9,713,079,198.04/100,020.80
  6. Step 6: Final answer
    x = 97,110.59

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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.