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Finding the Fourth Proportional to 202,354.60, 303,531.90 and 102,821.80

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Solution

The fourth proportional to 202,354.60, 303,531.90 and 102,821.80 is: 154,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,354.60 : 303,531.90 = 102,821.80 : x
  2. Step 2: Convert to fraction form
    202,354.60/303,531.90 = 102,821.80/x
  3. Step 3: Cross multiply
    202,354.60x = 303,531.90 × 102,821.80
  4. Step 4: Simplify right side
    202,354.60x = 31,209,696,315.42
  5. Step 5: Solve for x
    x = 31,209,696,315.42/202,354.60
  6. Step 6: Final answer
    x = 154,232.70

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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.