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Finding the Fourth Proportional to 137,085.72, 205,645.50 and 66,912

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Solution

The fourth proportional to 137,085.72, 205,645.50 and 66,912 is: 100,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085.72 : 205,645.50 = 66,912 : x
  2. Step 2: Convert to fraction form
    137,085.72/205,645.50 = 66,912/x
  3. Step 3: Cross multiply
    137,085.72x = 205,645.50 × 66,912
  4. Step 4: Simplify right side
    137,085.72x = 13,760,151,696
  5. Step 5: Solve for x
    x = 13,760,151,696/137,085.72
  6. Step 6: Final answer
    x = 100,376.26

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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.