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Finding the Fourth Proportional to 78,200.85, 107,797.65 and 47,930.04

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Solution

The fourth proportional to 78,200.85, 107,797.65 and 47,930.04 is: 66,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.85 : 107,797.65 = 47,930.04 : x
  2. Step 2: Convert to fraction form
    78,200.85/107,797.65 = 47,930.04/x
  3. Step 3: Cross multiply
    78,200.85x = 107,797.65 × 47,930.04
  4. Step 4: Simplify right side
    78,200.85x = 5,166,745,676.41
  5. Step 5: Solve for x
    x = 5,166,745,676.41/78,200.85
  6. Step 6: Final answer
    x = 66,070.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.