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Finding the Fourth Proportional to 35,442.82, 53,171.22 and 10,142.57

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Solution

The fourth proportional to 35,442.82, 53,171.22 and 10,142.57 is: 15,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442.82 : 53,171.22 = 10,142.57 : x
  2. Step 2: Convert to fraction form
    35,442.82/53,171.22 = 10,142.57/x
  3. Step 3: Cross multiply
    35,442.82x = 53,171.22 × 10,142.57
  4. Step 4: Simplify right side
    35,442.82x = 539,292,820.84
  5. Step 5: Solve for x
    x = 539,292,820.84/35,442.82
  6. Step 6: Final answer
    x = 15,215.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.