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Finding the Fourth Proportional to 225,978.12, 339,077.75 and 91,036.58

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Solution

The fourth proportional to 225,978.12, 339,077.75 and 91,036.58 is: 136,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,978.12 : 339,077.75 = 91,036.58 : x
  2. Step 2: Convert to fraction form
    225,978.12/339,077.75 = 91,036.58/x
  3. Step 3: Cross multiply
    225,978.12x = 339,077.75 × 91,036.58
  4. Step 4: Simplify right side
    225,978.12x = 30,868,476,563.52
  5. Step 5: Solve for x
    x = 30,868,476,563.52/225,978.12
  6. Step 6: Final answer
    x = 136,599.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.