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Finding the Fourth Proportional to 78,450.56, 117,760.10 and 31,734.08

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Solution

The fourth proportional to 78,450.56, 117,760.10 and 31,734.08 is: 47,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450.56 : 117,760.10 = 31,734.08 : x
  2. Step 2: Convert to fraction form
    78,450.56/117,760.10 = 31,734.08/x
  3. Step 3: Cross multiply
    78,450.56x = 117,760.10 × 31,734.08
  4. Step 4: Simplify right side
    78,450.56x = 3,737,008,434.21
  5. Step 5: Solve for x
    x = 3,737,008,434.21/78,450.56
  6. Step 6: Final answer
    x = 47,635.20

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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.