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Finding the Fourth Proportional to 71,574.47, 107,367.34 and 18,983.96

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Solution

The fourth proportional to 71,574.47, 107,367.34 and 18,983.96 is: 28,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.47 : 107,367.34 = 18,983.96 : x
  2. Step 2: Convert to fraction form
    71,574.47/107,367.34 = 18,983.96/x
  3. Step 3: Cross multiply
    71,574.47x = 107,367.34 × 18,983.96
  4. Step 4: Simplify right side
    71,574.47x = 2,038,257,287.87
  5. Step 5: Solve for x
    x = 2,038,257,287.87/71,574.47
  6. Step 6: Final answer
    x = 28,477.43

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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.