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Finding the Fourth Proportional to 47,398.40, 71,078.40 and 16,217.60

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Solution

The fourth proportional to 47,398.40, 71,078.40 and 16,217.60 is: 24,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398.40 : 71,078.40 = 16,217.60 : x
  2. Step 2: Convert to fraction form
    47,398.40/71,078.40 = 16,217.60/x
  3. Step 3: Cross multiply
    47,398.40x = 71,078.40 × 16,217.60
  4. Step 4: Simplify right side
    47,398.40x = 1,152,721,059.84
  5. Step 5: Solve for x
    x = 1,152,721,059.84/47,398.40
  6. Step 6: Final answer
    x = 24,319.83

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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.