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Finding the Fourth Proportional to 47,308, 70,962 and 16,143.26

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Solution

The fourth proportional to 47,308, 70,962 and 16,143.26 is: 24,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308 : 70,962 = 16,143.26 : x
  2. Step 2: Convert to fraction form
    47,308/70,962 = 16,143.26/x
  3. Step 3: Cross multiply
    47,308x = 70,962 × 16,143.26
  4. Step 4: Simplify right side
    47,308x = 1,145,558,016.12
  5. Step 5: Solve for x
    x = 1,145,558,016.12/47,308
  6. Step 6: Final answer
    x = 24,214.89

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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.