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Finding the Fourth Proportional to 104,078.70, 156,071.88 and 47,905.20

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Solution

The fourth proportional to 104,078.70, 156,071.88 and 47,905.20 is: 71,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078.70 : 156,071.88 = 47,905.20 : x
  2. Step 2: Convert to fraction form
    104,078.70/156,071.88 = 47,905.20/x
  3. Step 3: Cross multiply
    104,078.70x = 156,071.88 × 47,905.20
  4. Step 4: Simplify right side
    104,078.70x = 7,476,654,625.78
  5. Step 5: Solve for x
    x = 7,476,654,625.78/104,078.70
  6. Step 6: Final answer
    x = 71,836.55

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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.