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Finding the Fourth Proportional to 78,379.40, 117,569.10 and 55,109.72

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Solution

The fourth proportional to 78,379.40, 117,569.10 and 55,109.72 is: 82,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.40 : 117,569.10 = 55,109.72 : x
  2. Step 2: Convert to fraction form
    78,379.40/117,569.10 = 55,109.72/x
  3. Step 3: Cross multiply
    78,379.40x = 117,569.10 × 55,109.72
  4. Step 4: Simplify right side
    78,379.40x = 6,479,200,181.65
  5. Step 5: Solve for x
    x = 6,479,200,181.65/78,379.40
  6. Step 6: Final answer
    x = 82,664.58

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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.