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Finding the Fourth Proportional to 272,160,914.60, 408,241,371.90 and 90,408,092.60

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Solution

The fourth proportional to 272,160,914.60, 408,241,371.90 and 90,408,092.60 is: 135,612,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,160,914.60 : 408,241,371.90 = 90,408,092.60 : x
  2. Step 2: Convert to fraction form
    272,160,914.60/408,241,371.90 = 90,408,092.60/x
  3. Step 3: Cross multiply
    272,160,914.60x = 408,241,371.90 × 90,408,092.60
  4. Step 4: Simplify right side
    272,160,914.60x = 36,908,323,753,886,232
  5. Step 5: Solve for x
    x = 36,908,323,753,886,232/272,160,914.60
  6. Step 6: Final answer
    x = 135,612,138.90

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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.