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Finding the Fourth Proportional to 47,622, 71,419.08 and 14,338.80

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Solution

The fourth proportional to 47,622, 71,419.08 and 14,338.80 is: 21,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,622 : 71,419.08 = 14,338.80 : x
  2. Step 2: Convert to fraction form
    47,622/71,419.08 = 14,338.80/x
  3. Step 3: Cross multiply
    47,622x = 71,419.08 × 14,338.80
  4. Step 4: Simplify right side
    47,622x = 1,024,063,904.30
  5. Step 5: Solve for x
    x = 1,024,063,904.30/47,622
  6. Step 6: Final answer
    x = 21,504.01

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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.