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Finding the Fourth Proportional to 119,112.78, 178,664.22 and 30,368.46

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Solution

The fourth proportional to 119,112.78, 178,664.22 and 30,368.46 is: 45,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,112.78 : 178,664.22 = 30,368.46 : x
  2. Step 2: Convert to fraction form
    119,112.78/178,664.22 = 30,368.46/x
  3. Step 3: Cross multiply
    119,112.78x = 178,664.22 × 30,368.46
  4. Step 4: Simplify right side
    119,112.78x = 5,425,757,218.50
  5. Step 5: Solve for x
    x = 5,425,757,218.50/119,112.78
  6. Step 6: Final answer
    x = 45,551.43

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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.