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Finding the Fourth Proportional to 208,078.48, 312,013.80 and 67,819.60

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Solution

The fourth proportional to 208,078.48, 312,013.80 and 67,819.60 is: 101,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.48 : 312,013.80 = 67,819.60 : x
  2. Step 2: Convert to fraction form
    208,078.48/312,013.80 = 67,819.60/x
  3. Step 3: Cross multiply
    208,078.48x = 312,013.80 × 67,819.60
  4. Step 4: Simplify right side
    208,078.48x = 21,160,651,110.48
  5. Step 5: Solve for x
    x = 21,160,651,110.48/208,078.48
  6. Step 6: Final answer
    x = 101,695.53

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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.