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Finding the Fourth Proportional to 78,143.78, 117,231.87 and 31,400.30

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Solution

The fourth proportional to 78,143.78, 117,231.87 and 31,400.30 is: 47,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.78 : 117,231.87 = 31,400.30 : x
  2. Step 2: Convert to fraction form
    78,143.78/117,231.87 = 31,400.30/x
  3. Step 3: Cross multiply
    78,143.78x = 117,231.87 × 31,400.30
  4. Step 4: Simplify right side
    78,143.78x = 3,681,116,180.64
  5. Step 5: Solve for x
    x = 3,681,116,180.64/78,143.78
  6. Step 6: Final answer
    x = 47,106.96

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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.