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Finding the Fourth Proportional to 55,350, 83,025.72 and 18,414

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Solution

The fourth proportional to 55,350, 83,025.72 and 18,414 is: 27,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,350 : 83,025.72 = 18,414 : x
  2. Step 2: Convert to fraction form
    55,350/83,025.72 = 18,414/x
  3. Step 3: Cross multiply
    55,350x = 83,025.72 × 18,414
  4. Step 4: Simplify right side
    55,350x = 1,528,835,608.08
  5. Step 5: Solve for x
    x = 1,528,835,608.08/55,350
  6. Step 6: Final answer
    x = 27,621.24

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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.