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Finding the Fourth Proportional to 208,782.31, 313,117.57 and 58,987.39

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Solution

The fourth proportional to 208,782.31, 313,117.57 and 58,987.39 is: 88,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,782.31 : 313,117.57 = 58,987.39 : x
  2. Step 2: Convert to fraction form
    208,782.31/313,117.57 = 58,987.39/x
  3. Step 3: Cross multiply
    208,782.31x = 313,117.57 × 58,987.39
  4. Step 4: Simplify right side
    208,782.31x = 18,469,988,217.44
  5. Step 5: Solve for x
    x = 18,469,988,217.44/208,782.31
  6. Step 6: Final answer
    x = 88,465.29

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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.