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Finding the Fourth Proportional to 47,229.87, 70,852.47 and 13,953.28

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Solution

The fourth proportional to 47,229.87, 70,852.47 and 13,953.28 is: 20,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.87 : 70,852.47 = 13,953.28 : x
  2. Step 2: Convert to fraction form
    47,229.87/70,852.47 = 13,953.28/x
  3. Step 3: Cross multiply
    47,229.87x = 70,852.47 × 13,953.28
  4. Step 4: Simplify right side
    47,229.87x = 988,624,352.60
  5. Step 5: Solve for x
    x = 988,624,352.60/47,229.87
  6. Step 6: Final answer
    x = 20,932.18

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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.