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Finding the Fourth Proportional to 219,725, 329,470.86 and 101,335.40

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Solution

The fourth proportional to 219,725, 329,470.86 and 101,335.40 is: 151,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,725 : 329,470.86 = 101,335.40 : x
  2. Step 2: Convert to fraction form
    219,725/329,470.86 = 101,335.40/x
  3. Step 3: Cross multiply
    219,725x = 329,470.86 × 101,335.40
  4. Step 4: Simplify right side
    219,725x = 33,387,061,386.44
  5. Step 5: Solve for x
    x = 33,387,061,386.44/219,725
  6. Step 6: Final answer
    x = 151,949.31

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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.