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Finding the Fourth Proportional to 137,751, 206,661.18 and 39,255

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Solution

The fourth proportional to 137,751, 206,661.18 and 39,255 is: 58,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751 : 206,661.18 = 39,255 : x
  2. Step 2: Convert to fraction form
    137,751/206,661.18 = 39,255/x
  3. Step 3: Cross multiply
    137,751x = 206,661.18 × 39,255
  4. Step 4: Simplify right side
    137,751x = 8,112,484,620.90
  5. Step 5: Solve for x
    x = 8,112,484,620.90/137,751
  6. Step 6: Final answer
    x = 58,892.38

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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.