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Finding the Fourth Proportional to 66,300, 99,450.26 and 26,857.86

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Solution

The fourth proportional to 66,300, 99,450.26 and 26,857.86 is: 40,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,300 : 99,450.26 = 26,857.86 : x
  2. Step 2: Convert to fraction form
    66,300/99,450.26 = 26,857.86/x
  3. Step 3: Cross multiply
    66,300x = 99,450.26 × 26,857.86
  4. Step 4: Simplify right side
    66,300x = 2,671,021,160.04
  5. Step 5: Solve for x
    x = 2,671,021,160.04/66,300
  6. Step 6: Final answer
    x = 40,286.90

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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.