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Finding the Fourth Proportional to 208,721.80, 313,008.30 and 75,567.64

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Solution

The fourth proportional to 208,721.80, 313,008.30 and 75,567.64 is: 113,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721.80 : 313,008.30 = 75,567.64 : x
  2. Step 2: Convert to fraction form
    208,721.80/313,008.30 = 75,567.64/x
  3. Step 3: Cross multiply
    208,721.80x = 313,008.30 × 75,567.64
  4. Step 4: Simplify right side
    208,721.80x = 23,653,298,531.41
  5. Step 5: Solve for x
    x = 23,653,298,531.41/208,721.80
  6. Step 6: Final answer
    x = 113,324.52

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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.