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Finding the Fourth Proportional to 55,129.84, 82,599.65 and 30,187.84

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Solution

The fourth proportional to 55,129.84, 82,599.65 and 30,187.84 is: 45,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,129.84 : 82,599.65 = 30,187.84 : x
  2. Step 2: Convert to fraction form
    55,129.84/82,599.65 = 30,187.84/x
  3. Step 3: Cross multiply
    55,129.84x = 82,599.65 × 30,187.84
  4. Step 4: Simplify right side
    55,129.84x = 2,493,505,018.26
  5. Step 5: Solve for x
    x = 2,493,505,018.26/55,129.84
  6. Step 6: Final answer
    x = 45,229.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.