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Finding the Fourth Proportional to 69,291.78, 103,900.68 and 35,978.28

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Solution

The fourth proportional to 69,291.78, 103,900.68 and 35,978.28 is: 53,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,291.78 : 103,900.68 = 35,978.28 : x
  2. Step 2: Convert to fraction form
    69,291.78/103,900.68 = 35,978.28/x
  3. Step 3: Cross multiply
    69,291.78x = 103,900.68 × 35,978.28
  4. Step 4: Simplify right side
    69,291.78x = 3,738,167,757.23
  5. Step 5: Solve for x
    x = 3,738,167,757.23/69,291.78
  6. Step 6: Final answer
    x = 53,948.21

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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.