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Finding the Fourth Proportional to 189,656.58, 261,733.62 and 109,084.02

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Solution

The fourth proportional to 189,656.58, 261,733.62 and 109,084.02 is: 150,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,656.58 : 261,733.62 = 109,084.02 : x
  2. Step 2: Convert to fraction form
    189,656.58/261,733.62 = 109,084.02/x
  3. Step 3: Cross multiply
    189,656.58x = 261,733.62 × 109,084.02
  4. Step 4: Simplify right side
    189,656.58x = 28,550,955,438.75
  5. Step 5: Solve for x
    x = 28,550,955,438.75/189,656.58
  6. Step 6: Final answer
    x = 150,540.28

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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.