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Finding the Fourth Proportional to 106,017.69, 158,965.04 and 42,786.06

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Solution

The fourth proportional to 106,017.69, 158,965.04 and 42,786.06 is: 64,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,017.69 : 158,965.04 = 42,786.06 : x
  2. Step 2: Convert to fraction form
    106,017.69/158,965.04 = 42,786.06/x
  3. Step 3: Cross multiply
    106,017.69x = 158,965.04 × 42,786.06
  4. Step 4: Simplify right side
    106,017.69x = 6,801,487,525.41
  5. Step 5: Solve for x
    x = 6,801,487,525.41/106,017.69
  6. Step 6: Final answer
    x = 64,154.27

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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.