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Finding the Fourth Proportional to 207,082.31, 310,656.33 and 66,808.13

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Solution

The fourth proportional to 207,082.31, 310,656.33 and 66,808.13 is: 100,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,082.31 : 310,656.33 = 66,808.13 : x
  2. Step 2: Convert to fraction form
    207,082.31/310,656.33 = 66,808.13/x
  3. Step 3: Cross multiply
    207,082.31x = 310,656.33 × 66,808.13
  4. Step 4: Simplify right side
    207,082.31x = 20,754,366,926.68
  5. Step 5: Solve for x
    x = 20,754,366,926.68/207,082.31
  6. Step 6: Final answer
    x = 100,222.79

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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.