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Finding the Fourth Proportional to 69,094.38, 103,408.29 and 42,821.22

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Solution

The fourth proportional to 69,094.38, 103,408.29 and 42,821.22 is: 64,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094.38 : 103,408.29 = 42,821.22 : x
  2. Step 2: Convert to fraction form
    69,094.38/103,408.29 = 42,821.22/x
  3. Step 3: Cross multiply
    69,094.38x = 103,408.29 × 42,821.22
  4. Step 4: Simplify right side
    69,094.38x = 4,428,069,135.91
  5. Step 5: Solve for x
    x = 4,428,069,135.91/69,094.38
  6. Step 6: Final answer
    x = 64,087.25

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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.