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Finding the Fourth Proportional to 78,495.93, 117,711.09 and 31,716

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Solution

The fourth proportional to 78,495.93, 117,711.09 and 31,716 is: 47,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,495.93 : 117,711.09 = 31,716 : x
  2. Step 2: Convert to fraction form
    78,495.93/117,711.09 = 31,716/x
  3. Step 3: Cross multiply
    78,495.93x = 117,711.09 × 31,716
  4. Step 4: Simplify right side
    78,495.93x = 3,733,324,930.44
  5. Step 5: Solve for x
    x = 3,733,324,930.44/78,495.93
  6. Step 6: Final answer
    x = 47,560.75

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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.