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Finding the Fourth Proportional to 76,846.73, 106,077.68 and 57,781.86

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Solution

The fourth proportional to 76,846.73, 106,077.68 and 57,781.86 is: 79,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846.73 : 106,077.68 = 57,781.86 : x
  2. Step 2: Convert to fraction form
    76,846.73/106,077.68 = 57,781.86/x
  3. Step 3: Cross multiply
    76,846.73x = 106,077.68 × 57,781.86
  4. Step 4: Simplify right side
    76,846.73x = 6,129,365,509.89
  5. Step 5: Solve for x
    x = 6,129,365,509.89/76,846.73
  6. Step 6: Final answer
    x = 79,760.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.