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Finding the Fourth Proportional to 203,178.88, 304,788.49 and 75,128.75

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Solution

The fourth proportional to 203,178.88, 304,788.49 and 75,128.75 is: 112,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,178.88 : 304,788.49 = 75,128.75 : x
  2. Step 2: Convert to fraction form
    203,178.88/304,788.49 = 75,128.75/x
  3. Step 3: Cross multiply
    203,178.88x = 304,788.49 × 75,128.75
  4. Step 4: Simplify right side
    203,178.88x = 22,898,377,699.28
  5. Step 5: Solve for x
    x = 22,898,377,699.28/203,178.88
  6. Step 6: Final answer
    x = 112,700.58

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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.