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Finding the Fourth Proportional to 105,890.60, 158,901.70 and 65,987.90

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Solution

The fourth proportional to 105,890.60, 158,901.70 and 65,987.90 is: 99,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890.60 : 158,901.70 = 65,987.90 : x
  2. Step 2: Convert to fraction form
    105,890.60/158,901.70 = 65,987.90/x
  3. Step 3: Cross multiply
    105,890.60x = 158,901.70 × 65,987.90
  4. Step 4: Simplify right side
    105,890.60x = 10,485,589,489.43
  5. Step 5: Solve for x
    x = 10,485,589,489.43/105,890.60
  6. Step 6: Final answer
    x = 99,022.85

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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.