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Finding the Fourth Proportional to 209,813.28, 314,764.77 and 67,666.65

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Solution

The fourth proportional to 209,813.28, 314,764.77 and 67,666.65 is: 101,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.28 : 314,764.77 = 67,666.65 : x
  2. Step 2: Convert to fraction form
    209,813.28/314,764.77 = 67,666.65/x
  3. Step 3: Cross multiply
    209,813.28x = 314,764.77 × 67,666.65
  4. Step 4: Simplify right side
    209,813.28x = 21,299,077,523.92
  5. Step 5: Solve for x
    x = 21,299,077,523.92/209,813.28
  6. Step 6: Final answer
    x = 101,514.44

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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.