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Finding the Fourth Proportional to 120,825.40, 181,262.40 and 101,239.60

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Solution

The fourth proportional to 120,825.40, 181,262.40 and 101,239.60 is: 151,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,825.40 : 181,262.40 = 101,239.60 : x
  2. Step 2: Convert to fraction form
    120,825.40/181,262.40 = 101,239.60/x
  3. Step 3: Cross multiply
    120,825.40x = 181,262.40 × 101,239.60
  4. Step 4: Simplify right side
    120,825.40x = 18,350,932,871.04
  5. Step 5: Solve for x
    x = 18,350,932,871.04/120,825.40
  6. Step 6: Final answer
    x = 151,879.76

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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.