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Finding the Fourth Proportional to 47,252.70, 70,911.45 and 20,976.30

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Solution

The fourth proportional to 47,252.70, 70,911.45 and 20,976.30 is: 31,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,252.70 : 70,911.45 = 20,976.30 : x
  2. Step 2: Convert to fraction form
    47,252.70/70,911.45 = 20,976.30/x
  3. Step 3: Cross multiply
    47,252.70x = 70,911.45 × 20,976.30
  4. Step 4: Simplify right side
    47,252.70x = 1,487,459,848.64
  5. Step 5: Solve for x
    x = 1,487,459,848.64/47,252.70
  6. Step 6: Final answer
    x = 31,478.83

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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.