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Finding the Fourth Proportional to 106,506.78, 159,842.79 and 40,007.40

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Solution

The fourth proportional to 106,506.78, 159,842.79 and 40,007.40 is: 60,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.78 : 159,842.79 = 40,007.40 : x
  2. Step 2: Convert to fraction form
    106,506.78/159,842.79 = 40,007.40/x
  3. Step 3: Cross multiply
    106,506.78x = 159,842.79 × 40,007.40
  4. Step 4: Simplify right side
    106,506.78x = 6,394,894,436.65
  5. Step 5: Solve for x
    x = 6,394,894,436.65/106,506.78
  6. Step 6: Final answer
    x = 60,042.13

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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.