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Finding the Fourth Proportional to 71,964.54, 107,938.32 and 19,369.86

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Solution

The fourth proportional to 71,964.54, 107,938.32 and 19,369.86 is: 29,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964.54 : 107,938.32 = 19,369.86 : x
  2. Step 2: Convert to fraction form
    71,964.54/107,938.32 = 19,369.86/x
  3. Step 3: Cross multiply
    71,964.54x = 107,938.32 × 19,369.86
  4. Step 4: Simplify right side
    71,964.54x = 2,090,750,147.04
  5. Step 5: Solve for x
    x = 2,090,750,147.04/71,964.54
  6. Step 6: Final answer
    x = 29,052.50

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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.