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Finding the Fourth Proportional to 55,402.70, 76,462.29 and 31,204.46

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Solution

The fourth proportional to 55,402.70, 76,462.29 and 31,204.46 is: 43,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.70 : 76,462.29 = 31,204.46 : x
  2. Step 2: Convert to fraction form
    55,402.70/76,462.29 = 31,204.46/x
  3. Step 3: Cross multiply
    55,402.70x = 76,462.29 × 31,204.46
  4. Step 4: Simplify right side
    55,402.70x = 2,385,964,469.81
  5. Step 5: Solve for x
    x = 2,385,964,469.81/55,402.70
  6. Step 6: Final answer
    x = 43,065.85

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