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Finding the Fourth Proportional to 178,758.64, 268,172.52 and 67,942

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Solution

The fourth proportional to 178,758.64, 268,172.52 and 67,942 is: 101,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758.64 : 268,172.52 = 67,942 : x
  2. Step 2: Convert to fraction form
    178,758.64/268,172.52 = 67,942/x
  3. Step 3: Cross multiply
    178,758.64x = 268,172.52 × 67,942
  4. Step 4: Simplify right side
    178,758.64x = 18,220,177,353.84
  5. Step 5: Solve for x
    x = 18,220,177,353.84/178,758.64
  6. Step 6: Final answer
    x = 101,926.14

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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.