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Finding the Fourth Proportional to 178,809.70, 268,246.95 and 89,839.30

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Solution

The fourth proportional to 178,809.70, 268,246.95 and 89,839.30 is: 134,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,809.70 : 268,246.95 = 89,839.30 : x
  2. Step 2: Convert to fraction form
    178,809.70/268,246.95 = 89,839.30/x
  3. Step 3: Cross multiply
    178,809.70x = 268,246.95 × 89,839.30
  4. Step 4: Simplify right side
    178,809.70x = 24,099,118,215.14
  5. Step 5: Solve for x
    x = 24,099,118,215.14/178,809.70
  6. Step 6: Final answer
    x = 134,775.23

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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.