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Finding the Fourth Proportional to 148,364.50, 204,743.06 and 80,381.94

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Solution

The fourth proportional to 148,364.50, 204,743.06 and 80,381.94 is: 110,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364.50 : 204,743.06 = 80,381.94 : x
  2. Step 2: Convert to fraction form
    148,364.50/204,743.06 = 80,381.94/x
  3. Step 3: Cross multiply
    148,364.50x = 204,743.06 × 80,381.94
  4. Step 4: Simplify right side
    148,364.50x = 16,457,644,364.34
  5. Step 5: Solve for x
    x = 16,457,644,364.34/148,364.50
  6. Step 6: Final answer
    x = 110,927.10

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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.