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Finding the Fourth Proportional to 178,869.38, 268,429.80 and 84,103.90

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Solution

The fourth proportional to 178,869.38, 268,429.80 and 84,103.90 is: 126,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,869.38 : 268,429.80 = 84,103.90 : x
  2. Step 2: Convert to fraction form
    178,869.38/268,429.80 = 84,103.90/x
  3. Step 3: Cross multiply
    178,869.38x = 268,429.80 × 84,103.90
  4. Step 4: Simplify right side
    178,869.38x = 22,575,993,056.22
  5. Step 5: Solve for x
    x = 22,575,993,056.22/178,869.38
  6. Step 6: Final answer
    x = 126,214.97

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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.