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Finding the Fourth Proportional to 72,977.73, 100,709.16 and 41,146.65

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Solution

The fourth proportional to 72,977.73, 100,709.16 and 41,146.65 is: 56,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.73 : 100,709.16 = 41,146.65 : x
  2. Step 2: Convert to fraction form
    72,977.73/100,709.16 = 41,146.65/x
  3. Step 3: Cross multiply
    72,977.73x = 100,709.16 × 41,146.65
  4. Step 4: Simplify right side
    72,977.73x = 4,143,844,558.31
  5. Step 5: Solve for x
    x = 4,143,844,558.31/72,977.73
  6. Step 6: Final answer
    x = 56,782.32

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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.