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Finding the Fourth Proportional to 189,732.66, 261,858.87 and 114,279.54

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Solution

The fourth proportional to 189,732.66, 261,858.87 and 114,279.54 is: 157,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732.66 : 261,858.87 = 114,279.54 : x
  2. Step 2: Convert to fraction form
    189,732.66/261,858.87 = 114,279.54/x
  3. Step 3: Cross multiply
    189,732.66x = 261,858.87 × 114,279.54
  4. Step 4: Simplify right side
    189,732.66x = 29,925,111,208.52
  5. Step 5: Solve for x
    x = 29,925,111,208.52/189,732.66
  6. Step 6: Final answer
    x = 157,722.51

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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.