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Finding the Fourth Proportional to 66,442.67, 99,664 and 27,002.86

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Solution

The fourth proportional to 66,442.67, 99,664 and 27,002.86 is: 40,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,442.67 : 99,664 = 27,002.86 : x
  2. Step 2: Convert to fraction form
    66,442.67/99,664 = 27,002.86/x
  3. Step 3: Cross multiply
    66,442.67x = 99,664 × 27,002.86
  4. Step 4: Simplify right side
    66,442.67x = 2,691,213,039.04
  5. Step 5: Solve for x
    x = 2,691,213,039.04/66,442.67
  6. Step 6: Final answer
    x = 40,504.29

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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.