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Finding the Fourth Proportional to 202,270.40, 303,159.60 and 143,123.12

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Solution

The fourth proportional to 202,270.40, 303,159.60 and 143,123.12 is: 214,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,270.40 : 303,159.60 = 143,123.12 : x
  2. Step 2: Convert to fraction form
    202,270.40/303,159.60 = 143,123.12/x
  3. Step 3: Cross multiply
    202,270.40x = 303,159.60 × 143,123.12
  4. Step 4: Simplify right side
    202,270.40x = 43,389,147,809.95
  5. Step 5: Solve for x
    x = 43,389,147,809.95/202,270.40
  6. Step 6: Final answer
    x = 214,510.61

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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.