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Finding the Fourth Proportional to 137,718.25, 206,611.94 and 39,222.25

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Solution

The fourth proportional to 137,718.25, 206,611.94 and 39,222.25 is: 58,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.25 : 206,611.94 = 39,222.25 : x
  2. Step 2: Convert to fraction form
    137,718.25/206,611.94 = 39,222.25/x
  3. Step 3: Cross multiply
    137,718.25x = 206,611.94 × 39,222.25
  4. Step 4: Simplify right side
    137,718.25x = 8,103,784,967.55
  5. Step 5: Solve for x
    x = 8,103,784,967.55/137,718.25
  6. Step 6: Final answer
    x = 58,843.22

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1.5x scale

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.