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Finding the Fourth Proportional to 202,919.85, 304,429.32 and 143,065.17

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Solution

The fourth proportional to 202,919.85, 304,429.32 and 143,065.17 is: 214,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,919.85 : 304,429.32 = 143,065.17 : x
  2. Step 2: Convert to fraction form
    202,919.85/304,429.32 = 143,065.17/x
  3. Step 3: Cross multiply
    202,919.85x = 304,429.32 × 143,065.17
  4. Step 4: Simplify right side
    202,919.85x = 43,553,232,418.78
  5. Step 5: Solve for x
    x = 43,553,232,418.78/202,919.85
  6. Step 6: Final answer
    x = 214,632.69

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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.