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Finding the Fourth Proportional to 202,133.80, 303,200.70 and 143,036.20

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Solution

The fourth proportional to 202,133.80, 303,200.70 and 143,036.20 is: 214,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.80 : 303,200.70 = 143,036.20 : x
  2. Step 2: Convert to fraction form
    202,133.80/303,200.70 = 143,036.20/x
  3. Step 3: Cross multiply
    202,133.80x = 303,200.70 × 143,036.20
  4. Step 4: Simplify right side
    202,133.80x = 43,368,675,965.34
  5. Step 5: Solve for x
    x = 43,368,675,965.34/202,133.80
  6. Step 6: Final answer
    x = 214,554.30

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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.