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Finding the Fourth Proportional to 225,749, 311,533.66 and 125,147

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Solution

The fourth proportional to 225,749, 311,533.66 and 125,147 is: 172,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,749 : 311,533.66 = 125,147 : x
  2. Step 2: Convert to fraction form
    225,749/311,533.66 = 125,147/x
  3. Step 3: Cross multiply
    225,749x = 311,533.66 × 125,147
  4. Step 4: Simplify right side
    225,749x = 38,987,502,948.02
  5. Step 5: Solve for x
    x = 38,987,502,948.02/225,749
  6. Step 6: Final answer
    x = 172,702.88

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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.