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Finding the Fourth Proportional to 178,786.64, 268,214.56 and 67,970

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Solution

The fourth proportional to 178,786.64, 268,214.56 and 67,970 is: 101,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,786.64 : 268,214.56 = 67,970 : x
  2. Step 2: Convert to fraction form
    178,786.64/268,214.56 = 67,970/x
  3. Step 3: Cross multiply
    178,786.64x = 268,214.56 × 67,970
  4. Step 4: Simplify right side
    178,786.64x = 18,230,543,643.20
  5. Step 5: Solve for x
    x = 18,230,543,643.20/178,786.64
  6. Step 6: Final answer
    x = 101,968.15

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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.