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Finding the Fourth Proportional to 47,287.80, 70,914.90 and 20,945.40

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Solution

The fourth proportional to 47,287.80, 70,914.90 and 20,945.40 is: 31,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,287.80 : 70,914.90 = 20,945.40 : x
  2. Step 2: Convert to fraction form
    47,287.80/70,914.90 = 20,945.40/x
  3. Step 3: Cross multiply
    47,287.80x = 70,914.90 × 20,945.40
  4. Step 4: Simplify right side
    47,287.80x = 1,485,340,946.46
  5. Step 5: Solve for x
    x = 1,485,340,946.46/47,287.80
  6. Step 6: Final answer
    x = 31,410.66

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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.