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Finding the Fourth Proportional to 55,143.52, 76,098 and 29,992.88

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Solution

The fourth proportional to 55,143.52, 76,098 and 29,992.88 is: 41,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.52 : 76,098 = 29,992.88 : x
  2. Step 2: Convert to fraction form
    55,143.52/76,098 = 29,992.88/x
  3. Step 3: Cross multiply
    55,143.52x = 76,098 × 29,992.88
  4. Step 4: Simplify right side
    55,143.52x = 2,282,398,182.24
  5. Step 5: Solve for x
    x = 2,282,398,182.24/55,143.52
  6. Step 6: Final answer
    x = 41,390.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.