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Finding the Fourth Proportional to 78,107.60, 117,166.86 and 31,360.47

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Solution

The fourth proportional to 78,107.60, 117,166.86 and 31,360.47 is: 47,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.60 : 117,166.86 = 31,360.47 : x
  2. Step 2: Convert to fraction form
    78,107.60/117,166.86 = 31,360.47/x
  3. Step 3: Cross multiply
    78,107.60x = 117,166.86 × 31,360.47
  4. Step 4: Simplify right side
    78,107.60x = 3,674,407,719.62
  5. Step 5: Solve for x
    x = 3,674,407,719.62/78,107.60
  6. Step 6: Final answer
    x = 47,042.90

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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.