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Finding the Fourth Proportional to 106,667.80, 159,878.50 and 40,065.42

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Solution

The fourth proportional to 106,667.80, 159,878.50 and 40,065.42 is: 60,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667.80 : 159,878.50 = 40,065.42 : x
  2. Step 2: Convert to fraction form
    106,667.80/159,878.50 = 40,065.42/x
  3. Step 3: Cross multiply
    106,667.80x = 159,878.50 × 40,065.42
  4. Step 4: Simplify right side
    106,667.80x = 6,405,599,251.47
  5. Step 5: Solve for x
    x = 6,405,599,251.47/106,667.80
  6. Step 6: Final answer
    x = 60,051.85

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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.