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Finding the Fourth Proportional to 209,756.62, 314,909.37 and 124,523.11

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Solution

The fourth proportional to 209,756.62, 314,909.37 and 124,523.11 is: 186,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,756.62 : 314,909.37 = 124,523.11 : x
  2. Step 2: Convert to fraction form
    209,756.62/314,909.37 = 124,523.11/x
  3. Step 3: Cross multiply
    209,756.62x = 314,909.37 × 124,523.11
  4. Step 4: Simplify right side
    209,756.62x = 39,213,494,120.54
  5. Step 5: Solve for x
    x = 39,213,494,120.54/209,756.62
  6. Step 6: Final answer
    x = 186,947.59

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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.