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Finding the Fourth Proportional to 71,838, 107,774.28 and 22,590

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Solution

The fourth proportional to 71,838, 107,774.28 and 22,590 is: 33,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838 : 107,774.28 = 22,590 : x
  2. Step 2: Convert to fraction form
    71,838/107,774.28 = 22,590/x
  3. Step 3: Cross multiply
    71,838x = 107,774.28 × 22,590
  4. Step 4: Simplify right side
    71,838x = 2,434,620,985.20
  5. Step 5: Solve for x
    x = 2,434,620,985.20/71,838
  6. Step 6: Final answer
    x = 33,890.43

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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.