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Finding the Fourth Proportional to 208,854.78, 313,311.34 and 103,645.50

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Solution

The fourth proportional to 208,854.78, 313,311.34 and 103,645.50 is: 155,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.78 : 313,311.34 = 103,645.50 : x
  2. Step 2: Convert to fraction form
    208,854.78/313,311.34 = 103,645.50/x
  3. Step 3: Cross multiply
    208,854.78x = 313,311.34 × 103,645.50
  4. Step 4: Simplify right side
    208,854.78x = 32,473,310,489.97
  5. Step 5: Solve for x
    x = 32,473,310,489.97/208,854.78
  6. Step 6: Final answer
    x = 155,482.73

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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.