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Finding the Fourth Proportional to 208,209.39, 312,313.80 and 50,437.41

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Solution

The fourth proportional to 208,209.39, 312,313.80 and 50,437.41 is: 75,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,209.39 : 312,313.80 = 50,437.41 : x
  2. Step 2: Convert to fraction form
    208,209.39/312,313.80 = 50,437.41/x
  3. Step 3: Cross multiply
    208,209.39x = 312,313.80 × 50,437.41
  4. Step 4: Simplify right side
    208,209.39x = 15,752,299,179.26
  5. Step 5: Solve for x
    x = 15,752,299,179.26/208,209.39
  6. Step 6: Final answer
    x = 75,656.05

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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.