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Finding the Fourth Proportional to 207,082.56, 310,656.71 and 66,808.38

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Solution

The fourth proportional to 207,082.56, 310,656.71 and 66,808.38 is: 100,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,082.56 : 310,656.71 = 66,808.38 : x
  2. Step 2: Convert to fraction form
    207,082.56/310,656.71 = 66,808.38/x
  3. Step 3: Cross multiply
    207,082.56x = 310,656.71 × 66,808.38
  4. Step 4: Simplify right side
    207,082.56x = 20,754,469,643.90
  5. Step 5: Solve for x
    x = 20,754,469,643.90/207,082.56
  6. Step 6: Final answer
    x = 100,223.17

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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.