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Finding the Fourth Proportional to 120,991.46, 166,981.50 and 69,313.46

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Solution

The fourth proportional to 120,991.46, 166,981.50 and 69,313.46 is: 95,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,991.46 : 166,981.50 = 69,313.46 : x
  2. Step 2: Convert to fraction form
    120,991.46/166,981.50 = 69,313.46/x
  3. Step 3: Cross multiply
    120,991.46x = 166,981.50 × 69,313.46
  4. Step 4: Simplify right side
    120,991.46x = 11,574,064,686.08
  5. Step 5: Solve for x
    x = 11,574,064,686.08/120,991.46
  6. Step 6: Final answer
    x = 95,660.18

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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.