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Finding the Fourth Proportional to 119,085.70, 178,683.12 and 51,638.42

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Solution

The fourth proportional to 119,085.70, 178,683.12 and 51,638.42 is: 77,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.70 : 178,683.12 = 51,638.42 : x
  2. Step 2: Convert to fraction form
    119,085.70/178,683.12 = 51,638.42/x
  3. Step 3: Cross multiply
    119,085.70x = 178,683.12 × 51,638.42
  4. Step 4: Simplify right side
    119,085.70x = 9,226,913,104.05
  5. Step 5: Solve for x
    x = 9,226,913,104.05/119,085.70
  6. Step 6: Final answer
    x = 77,481.29

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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.