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Finding the Fourth Proportional to 119,144.95, 178,679.57 and 39,164.47

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Solution

The fourth proportional to 119,144.95, 178,679.57 and 39,164.47 is: 58,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.95 : 178,679.57 = 39,164.47 : x
  2. Step 2: Convert to fraction form
    119,144.95/178,679.57 = 39,164.47/x
  3. Step 3: Cross multiply
    119,144.95x = 178,679.57 × 39,164.47
  4. Step 4: Simplify right side
    119,144.95x = 6,997,890,016.36
  5. Step 5: Solve for x
    x = 6,997,890,016.36/119,144.95
  6. Step 6: Final answer
    x = 58,734.26

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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.