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Finding the Fourth Proportional to 189,729.72, 261,823.82 and 103,686.80

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Solution

The fourth proportional to 189,729.72, 261,823.82 and 103,686.80 is: 143,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,729.72 : 261,823.82 = 103,686.80 : x
  2. Step 2: Convert to fraction form
    189,729.72/261,823.82 = 103,686.80/x
  3. Step 3: Cross multiply
    189,729.72x = 261,823.82 × 103,686.80
  4. Step 4: Simplify right side
    189,729.72x = 27,147,674,059.58
  5. Step 5: Solve for x
    x = 27,147,674,059.58/189,729.72
  6. Step 6: Final answer
    x = 143,086.04

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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.