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Finding the Fourth Proportional to 69,235.78, 103,812.14 and 31,748.89

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Solution

The fourth proportional to 69,235.78, 103,812.14 and 31,748.89 is: 47,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,235.78 : 103,812.14 = 31,748.89 : x
  2. Step 2: Convert to fraction form
    69,235.78/103,812.14 = 31,748.89/x
  3. Step 3: Cross multiply
    69,235.78x = 103,812.14 × 31,748.89
  4. Step 4: Simplify right side
    69,235.78x = 3,295,920,292.90
  5. Step 5: Solve for x
    x = 3,295,920,292.90/69,235.78
  6. Step 6: Final answer
    x = 47,604.29

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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.