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Finding the Fourth Proportional to 55,099.79, 82,655.16 and 21,842.81

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Solution

The fourth proportional to 55,099.79, 82,655.16 and 21,842.81 is: 32,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,099.79 : 82,655.16 = 21,842.81 : x
  2. Step 2: Convert to fraction form
    55,099.79/82,655.16 = 21,842.81/x
  3. Step 3: Cross multiply
    55,099.79x = 82,655.16 × 21,842.81
  4. Step 4: Simplify right side
    55,099.79x = 1,805,421,296.54
  5. Step 5: Solve for x
    x = 1,805,421,296.54/55,099.79
  6. Step 6: Final answer
    x = 32,766.39

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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.