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Finding the Fourth Proportional to 199,889.80, 299,800.14 and 75,231.88

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Solution

The fourth proportional to 199,889.80, 299,800.14 and 75,231.88 is: 112,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,889.80 : 299,800.14 = 75,231.88 : x
  2. Step 2: Convert to fraction form
    199,889.80/299,800.14 = 75,231.88/x
  3. Step 3: Cross multiply
    199,889.80x = 299,800.14 × 75,231.88
  4. Step 4: Simplify right side
    199,889.80x = 22,554,528,156.46
  5. Step 5: Solve for x
    x = 22,554,528,156.46/199,889.80
  6. Step 6: Final answer
    x = 112,834.81

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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.