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Finding the Fourth Proportional to 199,422.66, 299,046.40 and 74,676.18

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Solution

The fourth proportional to 199,422.66, 299,046.40 and 74,676.18 is: 111,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,422.66 : 299,046.40 = 74,676.18 : x
  2. Step 2: Convert to fraction form
    199,422.66/299,046.40 = 74,676.18/x
  3. Step 3: Cross multiply
    199,422.66x = 299,046.40 × 74,676.18
  4. Step 4: Simplify right side
    199,422.66x = 22,331,642,794.75
  5. Step 5: Solve for x
    x = 22,331,642,794.75/199,422.66
  6. Step 6: Final answer
    x = 111,981.47

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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.