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Finding the Fourth Proportional to 120,713.14, 166,545.61 and 69,719.14

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Solution

The fourth proportional to 120,713.14, 166,545.61 and 69,719.14 is: 96,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,713.14 : 166,545.61 = 69,719.14 : x
  2. Step 2: Convert to fraction form
    120,713.14/166,545.61 = 69,719.14/x
  3. Step 3: Cross multiply
    120,713.14x = 166,545.61 × 69,719.14
  4. Step 4: Simplify right side
    120,713.14x = 11,611,416,699.98
  5. Step 5: Solve for x
    x = 11,611,416,699.98/120,713.14
  6. Step 6: Final answer
    x = 96,190.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.