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Finding the Fourth Proportional to 207,987.70, 311,981.55 and 183,493.30

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Solution

The fourth proportional to 207,987.70, 311,981.55 and 183,493.30 is: 275,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987.70 : 311,981.55 = 183,493.30 : x
  2. Step 2: Convert to fraction form
    207,987.70/311,981.55 = 183,493.30/x
  3. Step 3: Cross multiply
    207,987.70x = 311,981.55 × 183,493.30
  4. Step 4: Simplify right side
    207,987.70x = 57,246,524,148.62
  5. Step 5: Solve for x
    x = 57,246,524,148.62/207,987.70
  6. Step 6: Final answer
    x = 275,239.95

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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.