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Finding the Fourth Proportional to 202,938.40, 280,022.28 and 127,433.44

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Solution

The fourth proportional to 202,938.40, 280,022.28 and 127,433.44 is: 175,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.40 : 280,022.28 = 127,433.44 : x
  2. Step 2: Convert to fraction form
    202,938.40/280,022.28 = 127,433.44/x
  3. Step 3: Cross multiply
    202,938.40x = 280,022.28 × 127,433.44
  4. Step 4: Simplify right side
    202,938.40x = 35,684,202,417.04
  5. Step 5: Solve for x
    x = 35,684,202,417.04/202,938.40
  6. Step 6: Final answer
    x = 175,837.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.