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Finding the Fourth Proportional to 119,331.78, 178,988.24 and 69,380

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Solution

The fourth proportional to 119,331.78, 178,988.24 and 69,380 is: 104,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,331.78 : 178,988.24 = 69,380 : x
  2. Step 2: Convert to fraction form
    119,331.78/178,988.24 = 69,380/x
  3. Step 3: Cross multiply
    119,331.78x = 178,988.24 × 69,380
  4. Step 4: Simplify right side
    119,331.78x = 12,418,204,091.20
  5. Step 5: Solve for x
    x = 12,418,204,091.20/119,331.78
  6. Step 6: Final answer
    x = 104,064.52

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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.