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Finding the Fourth Proportional to 208,883.76, 313,295.58 and 66,745.23

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Solution

The fourth proportional to 208,883.76, 313,295.58 and 66,745.23 is: 100,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,883.76 : 313,295.58 = 66,745.23 : x
  2. Step 2: Convert to fraction form
    208,883.76/313,295.58 = 66,745.23/x
  3. Step 3: Cross multiply
    208,883.76x = 313,295.58 × 66,745.23
  4. Step 4: Simplify right side
    208,883.76x = 20,910,985,545.08
  5. Step 5: Solve for x
    x = 20,910,985,545.08/208,883.76
  6. Step 6: Final answer
    x = 100,108.24

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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.