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Finding the Fourth Proportional to 199,722.42, 299,517.75 and 66,565.98

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Solution

The fourth proportional to 199,722.42, 299,517.75 and 66,565.98 is: 99,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,722.42 : 299,517.75 = 66,565.98 : x
  2. Step 2: Convert to fraction form
    199,722.42/299,517.75 = 66,565.98/x
  3. Step 3: Cross multiply
    199,722.42x = 299,517.75 × 66,565.98
  4. Step 4: Simplify right side
    199,722.42x = 19,937,692,556.15
  5. Step 5: Solve for x
    x = 19,937,692,556.15/199,722.42
  6. Step 6: Final answer
    x = 99,827.01

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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.