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Finding the Fourth Proportional to 105,745.80, 158,581.80 and 42,549.55

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Solution

The fourth proportional to 105,745.80, 158,581.80 and 42,549.55 is: 63,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.80 : 158,581.80 = 42,549.55 : x
  2. Step 2: Convert to fraction form
    105,745.80/158,581.80 = 42,549.55/x
  3. Step 3: Cross multiply
    105,745.80x = 158,581.80 × 42,549.55
  4. Step 4: Simplify right side
    105,745.80x = 6,747,583,991.30
  5. Step 5: Solve for x
    x = 6,747,583,991.30/105,745.80
  6. Step 6: Final answer
    x = 63,809.48

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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.