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Finding the Fourth Proportional to 199,431.56, 299,149.95 and 66,311.82

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Solution

The fourth proportional to 199,431.56, 299,149.95 and 66,311.82 is: 99,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,431.56 : 299,149.95 = 66,311.82 : x
  2. Step 2: Convert to fraction form
    199,431.56/299,149.95 = 66,311.82/x
  3. Step 3: Cross multiply
    199,431.56x = 299,149.95 × 66,311.82
  4. Step 4: Simplify right side
    199,431.56x = 19,837,177,637.41
  5. Step 5: Solve for x
    x = 19,837,177,637.41/199,431.56
  6. Step 6: Final answer
    x = 99,468.60

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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.