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Finding the Fourth Proportional to 55,649.85, 76,781.84 and 31,771.77

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Solution

The fourth proportional to 55,649.85, 76,781.84 and 31,771.77 is: 43,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.85 : 76,781.84 = 31,771.77 : x
  2. Step 2: Convert to fraction form
    55,649.85/76,781.84 = 31,771.77/x
  3. Step 3: Cross multiply
    55,649.85x = 76,781.84 × 31,771.77
  4. Step 4: Simplify right side
    55,649.85x = 2,439,494,656.18
  5. Step 5: Solve for x
    x = 2,439,494,656.18/55,649.85
  6. Step 6: Final answer
    x = 43,836.50

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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.