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Finding the Fourth Proportional to 202,420, 303,630 and 62,178.63

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Solution

The fourth proportional to 202,420, 303,630 and 62,178.63 is: 93,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420 : 303,630 = 62,178.63 : x
  2. Step 2: Convert to fraction form
    202,420/303,630 = 62,178.63/x
  3. Step 3: Cross multiply
    202,420x = 303,630 × 62,178.63
  4. Step 4: Simplify right side
    202,420x = 18,879,297,426.90
  5. Step 5: Solve for x
    x = 18,879,297,426.90/202,420
  6. Step 6: Final answer
    x = 93,267.95

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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.