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Finding the Fourth Proportional to 207,658.68, 311,488.02 and 118,850.28

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Solution

The fourth proportional to 207,658.68, 311,488.02 and 118,850.28 is: 178,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.68 : 311,488.02 = 118,850.28 : x
  2. Step 2: Convert to fraction form
    207,658.68/311,488.02 = 118,850.28/x
  3. Step 3: Cross multiply
    207,658.68x = 311,488.02 × 118,850.28
  4. Step 4: Simplify right side
    207,658.68x = 37,020,438,393.65
  5. Step 5: Solve for x
    x = 37,020,438,393.65/207,658.68
  6. Step 6: Final answer
    x = 178,275.42

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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.