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Finding the Fourth Proportional to 207,085.82, 310,661.53 and 66,811.64

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Solution

The fourth proportional to 207,085.82, 310,661.53 and 66,811.64 is: 100,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,085.82 : 310,661.53 = 66,811.64 : x
  2. Step 2: Convert to fraction form
    207,085.82/310,661.53 = 66,811.64/x
  3. Step 3: Cross multiply
    207,085.82x = 310,661.53 × 66,811.64
  4. Step 4: Simplify right side
    207,085.82x = 20,755,804,583.87
  5. Step 5: Solve for x
    x = 20,755,804,583.87/207,085.82
  6. Step 6: Final answer
    x = 100,228.04

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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.