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Finding the Fourth Proportional to 76,764.96, 115,007.11 and 55,652.72

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Solution

The fourth proportional to 76,764.96, 115,007.11 and 55,652.72 is: 83,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764.96 : 115,007.11 = 55,652.72 : x
  2. Step 2: Convert to fraction form
    76,764.96/115,007.11 = 55,652.72/x
  3. Step 3: Cross multiply
    76,764.96x = 115,007.11 × 55,652.72
  4. Step 4: Simplify right side
    76,764.96x = 6,400,458,203.32
  5. Step 5: Solve for x
    x = 6,400,458,203.32/76,764.96
  6. Step 6: Final answer
    x = 83,377.34

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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.