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Finding the Fourth Proportional to 149,987.76, 206,901.24 and 96,212.96

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Solution

The fourth proportional to 149,987.76, 206,901.24 and 96,212.96 is: 132,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,987.76 : 206,901.24 = 96,212.96 : x
  2. Step 2: Convert to fraction form
    149,987.76/206,901.24 = 96,212.96/x
  3. Step 3: Cross multiply
    149,987.76x = 206,901.24 × 96,212.96
  4. Step 4: Simplify right side
    149,987.76x = 19,906,580,728.07
  5. Step 5: Solve for x
    x = 19,906,580,728.07/149,987.76
  6. Step 6: Final answer
    x = 132,721.37

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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.