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Finding the Fourth Proportional to 119,157.78, 178,736.52 and 30,411.29

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Solution

The fourth proportional to 119,157.78, 178,736.52 and 30,411.29 is: 45,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157.78 : 178,736.52 = 30,411.29 : x
  2. Step 2: Convert to fraction form
    119,157.78/178,736.52 = 30,411.29/x
  3. Step 3: Cross multiply
    119,157.78x = 178,736.52 × 30,411.29
  4. Step 4: Simplify right side
    119,157.78x = 5,435,607,249.63
  5. Step 5: Solve for x
    x = 5,435,607,249.63/119,157.78
  6. Step 6: Final answer
    x = 45,616.89

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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.