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Finding the Fourth Proportional to 137,718, 206,611.56 and 39,222

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Solution

The fourth proportional to 137,718, 206,611.56 and 39,222 is: 58,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718 : 206,611.56 = 39,222 : x
  2. Step 2: Convert to fraction form
    137,718/206,611.56 = 39,222/x
  3. Step 3: Cross multiply
    137,718x = 206,611.56 × 39,222
  4. Step 4: Simplify right side
    137,718x = 8,103,718,606.32
  5. Step 5: Solve for x
    x = 8,103,718,606.32/137,718
  6. Step 6: Final answer
    x = 58,842.84

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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.