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Finding the Fourth Proportional to 199,658.21, 299,312.36 and 75,086.69

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Solution

The fourth proportional to 199,658.21, 299,312.36 and 75,086.69 is: 112,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.21 : 299,312.36 = 75,086.69 : x
  2. Step 2: Convert to fraction form
    199,658.21/299,312.36 = 75,086.69/x
  3. Step 3: Cross multiply
    199,658.21x = 299,312.36 × 75,086.69
  4. Step 4: Simplify right side
    199,658.21x = 22,474,375,744.91
  5. Step 5: Solve for x
    x = 22,474,375,744.91/199,658.21
  6. Step 6: Final answer
    x = 112,564.24

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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.