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Finding the Fourth Proportional to 55,049.84, 75,970.56 and 31,176

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Solution

The fourth proportional to 55,049.84, 75,970.56 and 31,176 is: 43,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,049.84 : 75,970.56 = 31,176 : x
  2. Step 2: Convert to fraction form
    55,049.84/75,970.56 = 31,176/x
  3. Step 3: Cross multiply
    55,049.84x = 75,970.56 × 31,176
  4. Step 4: Simplify right side
    55,049.84x = 2,368,458,178.56
  5. Step 5: Solve for x
    x = 2,368,458,178.56/55,049.84
  6. Step 6: Final answer
    x = 43,023.89

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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.