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Finding the Fourth Proportional to 76,830.58, 115,092.15 and 61,062.22

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Solution

The fourth proportional to 76,830.58, 115,092.15 and 61,062.22 is: 91,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.58 : 115,092.15 = 61,062.22 : x
  2. Step 2: Convert to fraction form
    76,830.58/115,092.15 = 61,062.22/x
  3. Step 3: Cross multiply
    76,830.58x = 115,092.15 × 61,062.22
  4. Step 4: Simplify right side
    76,830.58x = 7,027,782,183.57
  5. Step 5: Solve for x
    x = 7,027,782,183.57/76,830.58
  6. Step 6: Final answer
    x = 91,471.16

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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.