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Finding the Fourth Proportional to 208,447.50, 312,594.66 and 71,631.80

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Solution

The fourth proportional to 208,447.50, 312,594.66 and 71,631.80 is: 107,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,447.50 : 312,594.66 = 71,631.80 : x
  2. Step 2: Convert to fraction form
    208,447.50/312,594.66 = 71,631.80/x
  3. Step 3: Cross multiply
    208,447.50x = 312,594.66 × 71,631.80
  4. Step 4: Simplify right side
    208,447.50x = 22,391,718,166.19
  5. Step 5: Solve for x
    x = 22,391,718,166.19/208,447.50
  6. Step 6: Final answer
    x = 107,421.38

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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.