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Finding the Fourth Proportional to 107,846.40, 161,942.40 and 72,940.80

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Solution

The fourth proportional to 107,846.40, 161,942.40 and 72,940.80 is: 109,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,846.40 : 161,942.40 = 72,940.80 : x
  2. Step 2: Convert to fraction form
    107,846.40/161,942.40 = 72,940.80/x
  3. Step 3: Cross multiply
    107,846.40x = 161,942.40 × 72,940.80
  4. Step 4: Simplify right side
    107,846.40x = 11,812,208,209.92
  5. Step 5: Solve for x
    x = 11,812,208,209.92/107,846.40
  6. Step 6: Final answer
    x = 109,528.07

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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.