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Finding the Fourth Proportional to 78,872.36, 118,174.92 and 47,642

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Solution

The fourth proportional to 78,872.36, 118,174.92 and 47,642 is: 71,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,872.36 : 118,174.92 = 47,642 : x
  2. Step 2: Convert to fraction form
    78,872.36/118,174.92 = 47,642/x
  3. Step 3: Cross multiply
    78,872.36x = 118,174.92 × 47,642
  4. Step 4: Simplify right side
    78,872.36x = 5,630,089,538.64
  5. Step 5: Solve for x
    x = 5,630,089,538.64/78,872.36
  6. Step 6: Final answer
    x = 71,382.29

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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.