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Finding the Fourth Proportional to 120,945.60, 181,375.20 and 42,062.40

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Solution

The fourth proportional to 120,945.60, 181,375.20 and 42,062.40 is: 63,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,945.60 : 181,375.20 = 42,062.40 : x
  2. Step 2: Convert to fraction form
    120,945.60/181,375.20 = 42,062.40/x
  3. Step 3: Cross multiply
    120,945.60x = 181,375.20 × 42,062.40
  4. Step 4: Simplify right side
    120,945.60x = 7,629,076,212.48
  5. Step 5: Solve for x
    x = 7,629,076,212.48/120,945.60
  6. Step 6: Final answer
    x = 63,078.58

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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.