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Finding the Fourth Proportional to 31,558,978.60, 47,338,467.90 and 13,608,082.60

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Solution

The fourth proportional to 31,558,978.60, 47,338,467.90 and 13,608,082.60 is: 20,412,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,558,978.60 : 47,338,467.90 = 13,608,082.60 : x
  2. Step 2: Convert to fraction form
    31,558,978.60/47,338,467.90 = 13,608,082.60/x
  3. Step 3: Cross multiply
    31,558,978.60x = 47,338,467.90 × 13,608,082.60
  4. Step 4: Simplify right side
    31,558,978.60x = 644,185,781,340,648.50
  5. Step 5: Solve for x
    x = 644,185,781,340,648.50/31,558,978.60
  6. Step 6: Final answer
    x = 20,412,123.90

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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.