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Finding the Fourth Proportional to 202,159.92, 302,993.90 and 143,012.64

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Solution

The fourth proportional to 202,159.92, 302,993.90 and 143,012.64 is: 214,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.92 : 302,993.90 = 143,012.64 : x
  2. Step 2: Convert to fraction form
    202,159.92/302,993.90 = 143,012.64/x
  3. Step 3: Cross multiply
    202,159.92x = 302,993.90 × 143,012.64
  4. Step 4: Simplify right side
    202,159.92x = 43,331,957,542.90
  5. Step 5: Solve for x
    x = 43,331,957,542.90/202,159.92
  6. Step 6: Final answer
    x = 214,344.95

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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.