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Finding the Fourth Proportional to 142,049.54, 213,037.45 and 42,186.26

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Solution

The fourth proportional to 142,049.54, 213,037.45 and 42,186.26 is: 63,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.54 : 213,037.45 = 42,186.26 : x
  2. Step 2: Convert to fraction form
    142,049.54/213,037.45 = 42,186.26/x
  3. Step 3: Cross multiply
    142,049.54x = 213,037.45 × 42,186.26
  4. Step 4: Simplify right side
    142,049.54x = 8,987,252,084.78
  5. Step 5: Solve for x
    x = 8,987,252,084.78/142,049.54
  6. Step 6: Final answer
    x = 63,268.44

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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.