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Finding the Fourth Proportional to 71,766, 107,666.40 and 22,518

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Solution

The fourth proportional to 71,766, 107,666.40 and 22,518 is: 33,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766 : 107,666.40 = 22,518 : x
  2. Step 2: Convert to fraction form
    71,766/107,666.40 = 22,518/x
  3. Step 3: Cross multiply
    71,766x = 107,666.40 × 22,518
  4. Step 4: Simplify right side
    71,766x = 2,424,431,995.20
  5. Step 5: Solve for x
    x = 2,424,431,995.20/71,766
  6. Step 6: Final answer
    x = 33,782.46

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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.