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Finding the Fourth Proportional to 137,079.72, 205,636.50 and 66,906

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Solution

The fourth proportional to 137,079.72, 205,636.50 and 66,906 is: 100,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,079.72 : 205,636.50 = 66,906 : x
  2. Step 2: Convert to fraction form
    137,079.72/205,636.50 = 66,906/x
  3. Step 3: Cross multiply
    137,079.72x = 205,636.50 × 66,906
  4. Step 4: Simplify right side
    137,079.72x = 13,758,315,669
  5. Step 5: Solve for x
    x = 13,758,315,669/137,079.72
  6. Step 6: Final answer
    x = 100,367.26

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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.