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Finding the Fourth Proportional to 47,286.28, 70,946.35 and 20,257.28

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Solution

The fourth proportional to 47,286.28, 70,946.35 and 20,257.28 is: 30,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.28 : 70,946.35 = 20,257.28 : x
  2. Step 2: Convert to fraction form
    47,286.28/70,946.35 = 20,257.28/x
  3. Step 3: Cross multiply
    47,286.28x = 70,946.35 × 20,257.28
  4. Step 4: Simplify right side
    47,286.28x = 1,437,179,950.21
  5. Step 5: Solve for x
    x = 1,437,179,950.21/47,286.28
  6. Step 6: Final answer
    x = 30,393.17

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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.