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Finding the Fourth Proportional to 78,697.60, 118,053.60 and 31,940.80

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Solution

The fourth proportional to 78,697.60, 118,053.60 and 31,940.80 is: 47,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,697.60 : 118,053.60 = 31,940.80 : x
  2. Step 2: Convert to fraction form
    78,697.60/118,053.60 = 31,940.80/x
  3. Step 3: Cross multiply
    78,697.60x = 118,053.60 × 31,940.80
  4. Step 4: Simplify right side
    78,697.60x = 3,770,726,426.88
  5. Step 5: Solve for x
    x = 3,770,726,426.88/78,697.60
  6. Step 6: Final answer
    x = 47,914.12

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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.