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Finding the Fourth Proportional to 137,906.90, 206,831.31 and 63,005.78

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Solution

The fourth proportional to 137,906.90, 206,831.31 and 63,005.78 is: 94,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.90 : 206,831.31 = 63,005.78 : x
  2. Step 2: Convert to fraction form
    137,906.90/206,831.31 = 63,005.78/x
  3. Step 3: Cross multiply
    137,906.90x = 206,831.31 × 63,005.78
  4. Step 4: Simplify right side
    137,906.90x = 13,031,568,014.97
  5. Step 5: Solve for x
    x = 13,031,568,014.97/137,906.90
  6. Step 6: Final answer
    x = 94,495.40

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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.