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Finding the Fourth Proportional to 47,219.64, 70,841.72 and 20,918.13

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Solution

The fourth proportional to 47,219.64, 70,841.72 and 20,918.13 is: 31,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,219.64 : 70,841.72 = 20,918.13 : x
  2. Step 2: Convert to fraction form
    47,219.64/70,841.72 = 20,918.13/x
  3. Step 3: Cross multiply
    47,219.64x = 70,841.72 × 20,918.13
  4. Step 4: Simplify right side
    47,219.64x = 1,481,876,203.79
  5. Step 5: Solve for x
    x = 1,481,876,203.79/47,219.64
  6. Step 6: Final answer
    x = 31,382.62

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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.