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Finding the Fourth Proportional to 71,473.51, 107,074.94 and 47,709.40

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Solution

The fourth proportional to 71,473.51, 107,074.94 and 47,709.40 is: 71,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,473.51 : 107,074.94 = 47,709.40 : x
  2. Step 2: Convert to fraction form
    71,473.51/107,074.94 = 47,709.40/x
  3. Step 3: Cross multiply
    71,473.51x = 107,074.94 × 47,709.40
  4. Step 4: Simplify right side
    71,473.51x = 5,108,481,142.44
  5. Step 5: Solve for x
    x = 5,108,481,142.44/71,473.51
  6. Step 6: Final answer
    x = 71,473.77

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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.