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Finding the Fourth Proportional to 137,198.34, 205,647.39 and 70,642.47

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Solution

The fourth proportional to 137,198.34, 205,647.39 and 70,642.47 is: 105,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,198.34 : 205,647.39 = 70,642.47 : x
  2. Step 2: Convert to fraction form
    137,198.34/205,647.39 = 70,642.47/x
  3. Step 3: Cross multiply
    137,198.34x = 205,647.39 × 70,642.47
  4. Step 4: Simplify right side
    137,198.34x = 14,527,439,578.65
  5. Step 5: Solve for x
    x = 14,527,439,578.65/137,198.34
  6. Step 6: Final answer
    x = 105,886.41

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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.