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Finding the Fourth Proportional to 76,791.16, 115,139.22 and 29,989

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Solution

The fourth proportional to 76,791.16, 115,139.22 and 29,989 is: 44,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.16 : 115,139.22 = 29,989 : x
  2. Step 2: Convert to fraction form
    76,791.16/115,139.22 = 29,989/x
  3. Step 3: Cross multiply
    76,791.16x = 115,139.22 × 29,989
  4. Step 4: Simplify right side
    76,791.16x = 3,452,910,068.58
  5. Step 5: Solve for x
    x = 3,452,910,068.58/76,791.16
  6. Step 6: Final answer
    x = 44,964.94

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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.