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Finding the Fourth Proportional to 202,363.60, 303,545.40 and 102,830.80

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Solution

The fourth proportional to 202,363.60, 303,545.40 and 102,830.80 is: 154,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,363.60 : 303,545.40 = 102,830.80 : x
  2. Step 2: Convert to fraction form
    202,363.60/303,545.40 = 102,830.80/x
  3. Step 3: Cross multiply
    202,363.60x = 303,545.40 × 102,830.80
  4. Step 4: Simplify right side
    202,363.60x = 31,213,816,318.32
  5. Step 5: Solve for x
    x = 31,213,816,318.32/202,363.60
  6. Step 6: Final answer
    x = 154,246.20

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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.