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Finding the Fourth Proportional to 55,142.50, 76,096.74 and 29,992

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Solution

The fourth proportional to 55,142.50, 76,096.74 and 29,992 is: 41,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.50 : 76,096.74 = 29,992 : x
  2. Step 2: Convert to fraction form
    55,142.50/76,096.74 = 29,992/x
  3. Step 3: Cross multiply
    55,142.50x = 76,096.74 × 29,992
  4. Step 4: Simplify right side
    55,142.50x = 2,282,293,426.08
  5. Step 5: Solve for x
    x = 2,282,293,426.08/55,142.50
  6. Step 6: Final answer
    x = 41,389.01

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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.