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Finding the Fourth Proportional to 61,281.57, 91,879.51 and 31,305.09

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Solution

The fourth proportional to 61,281.57, 91,879.51 and 31,305.09 is: 46,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,281.57 : 91,879.51 = 31,305.09 : x
  2. Step 2: Convert to fraction form
    61,281.57/91,879.51 = 31,305.09/x
  3. Step 3: Cross multiply
    61,281.57x = 91,879.51 × 31,305.09
  4. Step 4: Simplify right side
    61,281.57x = 2,876,296,329.71
  5. Step 5: Solve for x
    x = 2,876,296,329.71/61,281.57
  6. Step 6: Final answer
    x = 46,935.75

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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.