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Finding the Fourth Proportional to 55,203.78, 82,807.04 and 20,143.44

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Solution

The fourth proportional to 55,203.78, 82,807.04 and 20,143.44 is: 30,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.78 : 82,807.04 = 20,143.44 : x
  2. Step 2: Convert to fraction form
    55,203.78/82,807.04 = 20,143.44/x
  3. Step 3: Cross multiply
    55,203.78x = 82,807.04 × 20,143.44
  4. Step 4: Simplify right side
    55,203.78x = 1,668,018,641.82
  5. Step 5: Solve for x
    x = 1,668,018,641.82/55,203.78
  6. Step 6: Final answer
    x = 30,215.66

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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.