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Finding the Fourth Proportional to 137,757, 206,670.18 and 39,261

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Solution

The fourth proportional to 137,757, 206,670.18 and 39,261 is: 58,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,757 : 206,670.18 = 39,261 : x
  2. Step 2: Convert to fraction form
    137,757/206,670.18 = 39,261/x
  3. Step 3: Cross multiply
    137,757x = 206,670.18 × 39,261
  4. Step 4: Simplify right side
    137,757x = 8,114,077,936.98
  5. Step 5: Solve for x
    x = 8,114,077,936.98/137,757
  6. Step 6: Final answer
    x = 58,901.38

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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.