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Finding the Fourth Proportional to 135,933.40, 203,900.10 and 57,201.40

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Solution

The fourth proportional to 135,933.40, 203,900.10 and 57,201.40 is: 85,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,933.40 : 203,900.10 = 57,201.40 : x
  2. Step 2: Convert to fraction form
    135,933.40/203,900.10 = 57,201.40/x
  3. Step 3: Cross multiply
    135,933.40x = 203,900.10 × 57,201.40
  4. Step 4: Simplify right side
    135,933.40x = 11,663,371,180.14
  5. Step 5: Solve for x
    x = 11,663,371,180.14/135,933.40
  6. Step 6: Final answer
    x = 85,802.10

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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.