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Finding the Fourth Proportional to 119,049.60, 178,574.40 and 92,774

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Solution

The fourth proportional to 119,049.60, 178,574.40 and 92,774 is: 139,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,049.60 : 178,574.40 = 92,774 : x
  2. Step 2: Convert to fraction form
    119,049.60/178,574.40 = 92,774/x
  3. Step 3: Cross multiply
    119,049.60x = 178,574.40 × 92,774
  4. Step 4: Simplify right side
    119,049.60x = 16,567,061,385.60
  5. Step 5: Solve for x
    x = 16,567,061,385.60/119,049.60
  6. Step 6: Final answer
    x = 139,161

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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.