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Finding the Fourth Proportional to 220,238.46, 330,313.95 and 107,870.40

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Solution

The fourth proportional to 220,238.46, 330,313.95 and 107,870.40 is: 161,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,238.46 : 330,313.95 = 107,870.40 : x
  2. Step 2: Convert to fraction form
    220,238.46/330,313.95 = 107,870.40/x
  3. Step 3: Cross multiply
    220,238.46x = 330,313.95 × 107,870.40
  4. Step 4: Simplify right side
    220,238.46x = 35,631,097,912.08
  5. Step 5: Solve for x
    x = 35,631,097,912.08/220,238.46
  6. Step 6: Final answer
    x = 161,784.18

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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.