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Finding the Fourth Proportional to 76,719.33, 115,025.22 and 29,332.50

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Solution

The fourth proportional to 76,719.33, 115,025.22 and 29,332.50 is: 43,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,719.33 : 115,025.22 = 29,332.50 : x
  2. Step 2: Convert to fraction form
    76,719.33/115,025.22 = 29,332.50/x
  3. Step 3: Cross multiply
    76,719.33x = 115,025.22 × 29,332.50
  4. Step 4: Simplify right side
    76,719.33x = 3,373,977,265.65
  5. Step 5: Solve for x
    x = 3,373,977,265.65/76,719.33
  6. Step 6: Final answer
    x = 43,978.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.