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Finding the Fourth Proportional to 209,281.32, 313,965.72 and 69,138.36

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Solution

The fourth proportional to 209,281.32, 313,965.72 and 69,138.36 is: 103,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,281.32 : 313,965.72 = 69,138.36 : x
  2. Step 2: Convert to fraction form
    209,281.32/313,965.72 = 69,138.36/x
  3. Step 3: Cross multiply
    209,281.32x = 313,965.72 × 69,138.36
  4. Step 4: Simplify right side
    209,281.32x = 21,707,074,977.02
  5. Step 5: Solve for x
    x = 21,707,074,977.02/209,281.32
  6. Step 6: Final answer
    x = 103,721.99

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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.