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Finding the Fourth Proportional to 208,993.65, 313,502.31 and 66,851.40

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Solution

The fourth proportional to 208,993.65, 313,502.31 and 66,851.40 is: 100,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,993.65 : 313,502.31 = 66,851.40 : x
  2. Step 2: Convert to fraction form
    208,993.65/313,502.31 = 66,851.40/x
  3. Step 3: Cross multiply
    208,993.65x = 313,502.31 × 66,851.40
  4. Step 4: Simplify right side
    208,993.65x = 20,958,068,326.73
  5. Step 5: Solve for x
    x = 20,958,068,326.73/208,993.65
  6. Step 6: Final answer
    x = 100,280.89

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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.