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Finding the Fourth Proportional to 137,952, 206,928 and 39,456

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Solution

The fourth proportional to 137,952, 206,928 and 39,456 is: 59,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952 : 206,928 = 39,456 : x
  2. Step 2: Convert to fraction form
    137,952/206,928 = 39,456/x
  3. Step 3: Cross multiply
    137,952x = 206,928 × 39,456
  4. Step 4: Simplify right side
    137,952x = 8,164,551,168
  5. Step 5: Solve for x
    x = 8,164,551,168/137,952
  6. Step 6: Final answer
    x = 59,184

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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.