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Finding the Fourth Proportional to 148,188, 204,499.44 and 81,120

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Solution

The fourth proportional to 148,188, 204,499.44 and 81,120 is: 111,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188 : 204,499.44 = 81,120 : x
  2. Step 2: Convert to fraction form
    148,188/204,499.44 = 81,120/x
  3. Step 3: Cross multiply
    148,188x = 204,499.44 × 81,120
  4. Step 4: Simplify right side
    148,188x = 16,588,994,572.80
  5. Step 5: Solve for x
    x = 16,588,994,572.80/148,188
  6. Step 6: Final answer
    x = 111,945.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.