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Finding the Fourth Proportional to 208,850.78, 313,305.34 and 103,641.50

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Solution

The fourth proportional to 208,850.78, 313,305.34 and 103,641.50 is: 155,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,850.78 : 313,305.34 = 103,641.50 : x
  2. Step 2: Convert to fraction form
    208,850.78/313,305.34 = 103,641.50/x
  3. Step 3: Cross multiply
    208,850.78x = 313,305.34 × 103,641.50
  4. Step 4: Simplify right side
    208,850.78x = 32,471,435,395.61
  5. Step 5: Solve for x
    x = 32,471,435,395.61/208,850.78
  6. Step 6: Final answer
    x = 155,476.73

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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.