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Finding the Fourth Proportional to 81,387.60, 122,081.40 and 53,485.20

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Solution

The fourth proportional to 81,387.60, 122,081.40 and 53,485.20 is: 80,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387.60 : 122,081.40 = 53,485.20 : x
  2. Step 2: Convert to fraction form
    81,387.60/122,081.40 = 53,485.20/x
  3. Step 3: Cross multiply
    81,387.60x = 122,081.40 × 53,485.20
  4. Step 4: Simplify right side
    81,387.60x = 6,529,548,095.28
  5. Step 5: Solve for x
    x = 6,529,548,095.28/81,387.60
  6. Step 6: Final answer
    x = 80,227.80

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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.