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Finding the Fourth Proportional to 131,409.60, 197,114.40 and 120,523.20

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Solution

The fourth proportional to 131,409.60, 197,114.40 and 120,523.20 is: 180,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.60 : 197,114.40 = 120,523.20 : x
  2. Step 2: Convert to fraction form
    131,409.60/197,114.40 = 120,523.20/x
  3. Step 3: Cross multiply
    131,409.60x = 197,114.40 × 120,523.20
  4. Step 4: Simplify right side
    131,409.60x = 23,756,858,254.08
  5. Step 5: Solve for x
    x = 23,756,858,254.08/131,409.60
  6. Step 6: Final answer
    x = 180,784.80

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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.