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Finding the Fourth Proportional to 85,305.86, 117,684 and 49,475.12

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Solution

The fourth proportional to 85,305.86, 117,684 and 49,475.12 is: 68,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,305.86 : 117,684 = 49,475.12 : x
  2. Step 2: Convert to fraction form
    85,305.86/117,684 = 49,475.12/x
  3. Step 3: Cross multiply
    85,305.86x = 117,684 × 49,475.12
  4. Step 4: Simplify right side
    85,305.86x = 5,822,430,022.08
  5. Step 5: Solve for x
    x = 5,822,430,022.08/85,305.86
  6. Step 6: Final answer
    x = 68,253.58

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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.