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Finding the Fourth Proportional to 202,242.10, 303,363.15 and 102,709.30

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Solution

The fourth proportional to 202,242.10, 303,363.15 and 102,709.30 is: 154,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242.10 : 303,363.15 = 102,709.30 : x
  2. Step 2: Convert to fraction form
    202,242.10/303,363.15 = 102,709.30/x
  3. Step 3: Cross multiply
    202,242.10x = 303,363.15 × 102,709.30
  4. Step 4: Simplify right side
    202,242.10x = 31,158,216,782.30
  5. Step 5: Solve for x
    x = 31,158,216,782.30/202,242.10
  6. Step 6: Final answer
    x = 154,063.95

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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.