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Finding the Fourth Proportional to 81,578.94, 112,580.67 and 45,771.54

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Solution

The fourth proportional to 81,578.94, 112,580.67 and 45,771.54 is: 63,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578.94 : 112,580.67 = 45,771.54 : x
  2. Step 2: Convert to fraction form
    81,578.94/112,580.67 = 45,771.54/x
  3. Step 3: Cross multiply
    81,578.94x = 112,580.67 × 45,771.54
  4. Step 4: Simplify right side
    81,578.94x = 5,152,990,640.13
  5. Step 5: Solve for x
    x = 5,152,990,640.13/81,578.94
  6. Step 6: Final answer
    x = 63,165.70

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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.