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Finding the Fourth Proportional to 202,357.80, 303,536.70 and 143,260.20

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Solution

The fourth proportional to 202,357.80, 303,536.70 and 143,260.20 is: 214,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.80 : 303,536.70 = 143,260.20 : x
  2. Step 2: Convert to fraction form
    202,357.80/303,536.70 = 143,260.20/x
  3. Step 3: Cross multiply
    202,357.80x = 303,536.70 × 143,260.20
  4. Step 4: Simplify right side
    202,357.80x = 43,484,728,349.34
  5. Step 5: Solve for x
    x = 43,484,728,349.34/202,357.80
  6. Step 6: Final answer
    x = 214,890.30

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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.