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Finding the Fourth Proportional to 199,302.81, 298,796.34 and 99,411.58

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Solution

The fourth proportional to 199,302.81, 298,796.34 and 99,411.58 is: 149,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,302.81 : 298,796.34 = 99,411.58 : x
  2. Step 2: Convert to fraction form
    199,302.81/298,796.34 = 99,411.58/x
  3. Step 3: Cross multiply
    199,302.81x = 298,796.34 × 99,411.58
  4. Step 4: Simplify right side
    199,302.81x = 29,703,815,760.56
  5. Step 5: Solve for x
    x = 29,703,815,760.56/199,302.81
  6. Step 6: Final answer
    x = 149,038.62

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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.