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Finding the Fourth Proportional to 107,463.30, 161,194.95 and 102,912.90

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Solution

The fourth proportional to 107,463.30, 161,194.95 and 102,912.90 is: 154,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,463.30 : 161,194.95 = 102,912.90 : x
  2. Step 2: Convert to fraction form
    107,463.30/161,194.95 = 102,912.90/x
  3. Step 3: Cross multiply
    107,463.30x = 161,194.95 × 102,912.90
  4. Step 4: Simplify right side
    107,463.30x = 16,589,039,769.86
  5. Step 5: Solve for x
    x = 16,589,039,769.86/107,463.30
  6. Step 6: Final answer
    x = 154,369.35

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1.5x scale

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.