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Finding the Fourth Proportional to 71,638.96, 106,932.64 and 66,361

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Solution

The fourth proportional to 71,638.96, 106,932.64 and 66,361 is: 99,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.96 : 106,932.64 = 66,361 : x
  2. Step 2: Convert to fraction form
    71,638.96/106,932.64 = 66,361/x
  3. Step 3: Cross multiply
    71,638.96x = 106,932.64 × 66,361
  4. Step 4: Simplify right side
    71,638.96x = 7,096,156,923.04
  5. Step 5: Solve for x
    x = 7,096,156,923.04/71,638.96
  6. Step 6: Final answer
    x = 99,054.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.