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Finding the Fourth Proportional to 55,480.64, 83,203.52 and 18,536

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Solution

The fourth proportional to 55,480.64, 83,203.52 and 18,536 is: 27,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,480.64 : 83,203.52 = 18,536 : x
  2. Step 2: Convert to fraction form
    55,480.64/83,203.52 = 18,536/x
  3. Step 3: Cross multiply
    55,480.64x = 83,203.52 × 18,536
  4. Step 4: Simplify right side
    55,480.64x = 1,542,260,446.72
  5. Step 5: Solve for x
    x = 1,542,260,446.72/55,480.64
  6. Step 6: Final answer
    x = 27,798.17

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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.