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Finding the Fourth Proportional to 71,815, 107,724.42 and 24,430

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Solution

The fourth proportional to 71,815, 107,724.42 and 24,430 is: 36,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815 : 107,724.42 = 24,430 : x
  2. Step 2: Convert to fraction form
    71,815/107,724.42 = 24,430/x
  3. Step 3: Cross multiply
    71,815x = 107,724.42 × 24,430
  4. Step 4: Simplify right side
    71,815x = 2,631,707,580.60
  5. Step 5: Solve for x
    x = 2,631,707,580.60/71,815
  6. Step 6: Final answer
    x = 36,645.65

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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.