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Finding the Fourth Proportional to 173,821.78, 239,894.24 and 105,878.52

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Solution

The fourth proportional to 173,821.78, 239,894.24 and 105,878.52 is: 146,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,821.78 : 239,894.24 = 105,878.52 : x
  2. Step 2: Convert to fraction form
    173,821.78/239,894.24 = 105,878.52/x
  3. Step 3: Cross multiply
    173,821.78x = 239,894.24 × 105,878.52
  4. Step 4: Simplify right side
    173,821.78x = 25,399,647,087.72
  5. Step 5: Solve for x
    x = 25,399,647,087.72/173,821.78
  6. Step 6: Final answer
    x = 146,124.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.