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Finding the Fourth Proportional to 55,351, 76,384.40 and 30,200.52

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Solution

The fourth proportional to 55,351, 76,384.40 and 30,200.52 is: 41,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,351 : 76,384.40 = 30,200.52 : x
  2. Step 2: Convert to fraction form
    55,351/76,384.40 = 30,200.52/x
  3. Step 3: Cross multiply
    55,351x = 76,384.40 × 30,200.52
  4. Step 4: Simplify right side
    55,351x = 2,306,848,599.89
  5. Step 5: Solve for x
    x = 2,306,848,599.89/55,351
  6. Step 6: Final answer
    x = 41,676.73

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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.