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Finding the Fourth Proportional to 78,516, 117,795.60 and 23,112

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Solution

The fourth proportional to 78,516, 117,795.60 and 23,112 is: 34,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,516 : 117,795.60 = 23,112 : x
  2. Step 2: Convert to fraction form
    78,516/117,795.60 = 23,112/x
  3. Step 3: Cross multiply
    78,516x = 117,795.60 × 23,112
  4. Step 4: Simplify right side
    78,516x = 2,722,491,907.20
  5. Step 5: Solve for x
    x = 2,722,491,907.20/78,516
  6. Step 6: Final answer
    x = 34,674.36

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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.