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Finding the Fourth Proportional to 137,188.92, 206,811.58 and 128,044.50

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Solution

The fourth proportional to 137,188.92, 206,811.58 and 128,044.50 is: 193,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,188.92 : 206,811.58 = 128,044.50 : x
  2. Step 2: Convert to fraction form
    137,188.92/206,811.58 = 128,044.50/x
  3. Step 3: Cross multiply
    137,188.92x = 206,811.58 × 128,044.50
  4. Step 4: Simplify right side
    137,188.92x = 26,481,085,355.31
  5. Step 5: Solve for x
    x = 26,481,085,355.31/137,188.92
  6. Step 6: Final answer
    x = 193,026.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.