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Finding the Fourth Proportional to 71,619, 107,434.26 and 22,371

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Solution

The fourth proportional to 71,619, 107,434.26 and 22,371 is: 33,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,619 : 107,434.26 = 22,371 : x
  2. Step 2: Convert to fraction form
    71,619/107,434.26 = 22,371/x
  3. Step 3: Cross multiply
    71,619x = 107,434.26 × 22,371
  4. Step 4: Simplify right side
    71,619x = 2,403,411,830.46
  5. Step 5: Solve for x
    x = 2,403,411,830.46/71,619
  6. Step 6: Final answer
    x = 33,558.30

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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.