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Finding the Fourth Proportional to 189,713.72, 261,801.74 and 103,670.80

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Solution

The fourth proportional to 189,713.72, 261,801.74 and 103,670.80 is: 143,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.72 : 261,801.74 = 103,670.80 : x
  2. Step 2: Convert to fraction form
    189,713.72/261,801.74 = 103,670.80/x
  3. Step 3: Cross multiply
    189,713.72x = 261,801.74 × 103,670.80
  4. Step 4: Simplify right side
    189,713.72x = 27,141,195,827.19
  5. Step 5: Solve for x
    x = 27,141,195,827.19/189,713.72
  6. Step 6: Final answer
    x = 143,063.96

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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.