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Finding the Fourth Proportional to 119,354.25, 178,993.16 and 39,374.31

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Solution

The fourth proportional to 119,354.25, 178,993.16 and 39,374.31 is: 59,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,354.25 : 178,993.16 = 39,374.31 : x
  2. Step 2: Convert to fraction form
    119,354.25/178,993.16 = 39,374.31/x
  3. Step 3: Cross multiply
    119,354.25x = 178,993.16 × 39,374.31
  4. Step 4: Simplify right side
    119,354.25x = 7,047,731,972.85
  5. Step 5: Solve for x
    x = 7,047,731,972.85/119,354.25
  6. Step 6: Final answer
    x = 59,048.86

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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.