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Finding the Fourth Proportional to 47,488.60, 71,249.10 and 21,201.40

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Solution

The fourth proportional to 47,488.60, 71,249.10 and 21,201.40 is: 31,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488.60 : 71,249.10 = 21,201.40 : x
  2. Step 2: Convert to fraction form
    47,488.60/71,249.10 = 21,201.40/x
  3. Step 3: Cross multiply
    47,488.60x = 71,249.10 × 21,201.40
  4. Step 4: Simplify right side
    47,488.60x = 1,510,580,668.74
  5. Step 5: Solve for x
    x = 1,510,580,668.74/47,488.60
  6. Step 6: Final answer
    x = 31,809.33

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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.