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Finding the Fourth Proportional to 168,058.72, 251,951.12 and 78,158.16

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Solution

The fourth proportional to 168,058.72, 251,951.12 and 78,158.16 is: 117,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,058.72 : 251,951.12 = 78,158.16 : x
  2. Step 2: Convert to fraction form
    168,058.72/251,951.12 = 78,158.16/x
  3. Step 3: Cross multiply
    168,058.72x = 251,951.12 × 78,158.16
  4. Step 4: Simplify right side
    168,058.72x = 19,692,035,949.14
  5. Step 5: Solve for x
    x = 19,692,035,949.14/168,058.72
  6. Step 6: Final answer
    x = 117,173.54

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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.