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Finding the Fourth Proportional to 202,287.40, 303,431.10 and 75,927.40

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Solution

The fourth proportional to 202,287.40, 303,431.10 and 75,927.40 is: 113,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.40 : 303,431.10 = 75,927.40 : x
  2. Step 2: Convert to fraction form
    202,287.40/303,431.10 = 75,927.40/x
  3. Step 3: Cross multiply
    202,287.40x = 303,431.10 × 75,927.40
  4. Step 4: Simplify right side
    202,287.40x = 23,038,734,502.14
  5. Step 5: Solve for x
    x = 23,038,734,502.14/202,287.40
  6. Step 6: Final answer
    x = 113,891.10

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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.