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Finding the Fourth Proportional to 55,097.66, 82,613.64 and 21,822.50

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Solution

The fourth proportional to 55,097.66, 82,613.64 and 21,822.50 is: 32,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,097.66 : 82,613.64 = 21,822.50 : x
  2. Step 2: Convert to fraction form
    55,097.66/82,613.64 = 21,822.50/x
  3. Step 3: Cross multiply
    55,097.66x = 82,613.64 × 21,822.50
  4. Step 4: Simplify right side
    55,097.66x = 1,802,836,158.90
  5. Step 5: Solve for x
    x = 1,802,836,158.90/55,097.66
  6. Step 6: Final answer
    x = 32,720.74

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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.