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Finding the Fourth Proportional to 76,760.86, 115,001.01 and 55,648.54

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Solution

The fourth proportional to 76,760.86, 115,001.01 and 55,648.54 is: 83,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760.86 : 115,001.01 = 55,648.54 : x
  2. Step 2: Convert to fraction form
    76,760.86/115,001.01 = 55,648.54/x
  3. Step 3: Cross multiply
    76,760.86x = 115,001.01 × 55,648.54
  4. Step 4: Simplify right side
    76,760.86x = 6,399,637,730.02
  5. Step 5: Solve for x
    x = 6,399,637,730.02/76,760.86
  6. Step 6: Final answer
    x = 83,371.11

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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.