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Finding the Fourth Proportional to 225,664, 311,416.32 and 125,068.48

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Solution

The fourth proportional to 225,664, 311,416.32 and 125,068.48 is: 172,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664 : 311,416.32 = 125,068.48 : x
  2. Step 2: Convert to fraction form
    225,664/311,416.32 = 125,068.48/x
  3. Step 3: Cross multiply
    225,664x = 311,416.32 × 125,068.48
  4. Step 4: Simplify right side
    225,664x = 38,948,365,789.59
  5. Step 5: Solve for x
    x = 38,948,365,789.59/225,664
  6. Step 6: Final answer
    x = 172,594.50

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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.