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Finding the Fourth Proportional to 202,270.52, 303,159.38 and 143,123

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Solution

The fourth proportional to 202,270.52, 303,159.38 and 143,123 is: 214,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,270.52 : 303,159.38 = 143,123 : x
  2. Step 2: Convert to fraction form
    202,270.52/303,159.38 = 143,123/x
  3. Step 3: Cross multiply
    202,270.52x = 303,159.38 × 143,123
  4. Step 4: Simplify right side
    202,270.52x = 43,389,079,943.74
  5. Step 5: Solve for x
    x = 43,389,079,943.74/202,270.52
  6. Step 6: Final answer
    x = 214,510.15

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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.