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Finding the Fourth Proportional to 148,364, 204,742.40 and 81,296

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Solution

The fourth proportional to 148,364, 204,742.40 and 81,296 is: 112,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364 : 204,742.40 = 81,296 : x
  2. Step 2: Convert to fraction form
    148,364/204,742.40 = 81,296/x
  3. Step 3: Cross multiply
    148,364x = 204,742.40 × 81,296
  4. Step 4: Simplify right side
    148,364x = 16,644,738,150.40
  5. Step 5: Solve for x
    x = 16,644,738,150.40/148,364
  6. Step 6: Final answer
    x = 112,188.52

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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.