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Finding the Fourth Proportional to 189,701.75, 261,785.25 and 103,658.85

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Solution

The fourth proportional to 189,701.75, 261,785.25 and 103,658.85 is: 143,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,701.75 : 261,785.25 = 103,658.85 : x
  2. Step 2: Convert to fraction form
    189,701.75/261,785.25 = 103,658.85/x
  3. Step 3: Cross multiply
    189,701.75x = 261,785.25 × 103,658.85
  4. Step 4: Simplify right side
    189,701.75x = 27,136,357,961.96
  5. Step 5: Solve for x
    x = 27,136,357,961.96/189,701.75
  6. Step 6: Final answer
    x = 143,047.48

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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.