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Finding the Fourth Proportional to 47,285.80, 70,911.90 and 20,943.40

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Solution

The fourth proportional to 47,285.80, 70,911.90 and 20,943.40 is: 31,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285.80 : 70,911.90 = 20,943.40 : x
  2. Step 2: Convert to fraction form
    47,285.80/70,911.90 = 20,943.40/x
  3. Step 3: Cross multiply
    47,285.80x = 70,911.90 × 20,943.40
  4. Step 4: Simplify right side
    47,285.80x = 1,485,136,286.46
  5. Step 5: Solve for x
    x = 1,485,136,286.46/47,285.80
  6. Step 6: Final answer
    x = 31,407.66

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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.