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Finding the Fourth Proportional to 189,702.75, 261,786.63 and 103,659.85

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Solution

The fourth proportional to 189,702.75, 261,786.63 and 103,659.85 is: 143,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,702.75 : 261,786.63 = 103,659.85 : x
  2. Step 2: Convert to fraction form
    189,702.75/261,786.63 = 103,659.85/x
  3. Step 3: Cross multiply
    189,702.75x = 261,786.63 × 103,659.85
  4. Step 4: Simplify right side
    189,702.75x = 27,136,762,797.81
  5. Step 5: Solve for x
    x = 27,136,762,797.81/189,702.75
  6. Step 6: Final answer
    x = 143,048.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.