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Finding the Fourth Proportional to 199,717.84, 299,576.76 and 81,368.34

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Solution

The fourth proportional to 199,717.84, 299,576.76 and 81,368.34 is: 122,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,717.84 : 299,576.76 = 81,368.34 : x
  2. Step 2: Convert to fraction form
    199,717.84/299,576.76 = 81,368.34/x
  3. Step 3: Cross multiply
    199,717.84x = 299,576.76 × 81,368.34
  4. Step 4: Simplify right side
    199,717.84x = 24,376,063,663.78
  5. Step 5: Solve for x
    x = 24,376,063,663.78/199,717.84
  6. Step 6: Final answer
    x = 122,052.51

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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.