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Finding the Fourth Proportional to 55,143.50, 76,098.12 and 29,993

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Solution

The fourth proportional to 55,143.50, 76,098.12 and 29,993 is: 41,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.50 : 76,098.12 = 29,993 : x
  2. Step 2: Convert to fraction form
    55,143.50/76,098.12 = 29,993/x
  3. Step 3: Cross multiply
    55,143.50x = 76,098.12 × 29,993
  4. Step 4: Simplify right side
    55,143.50x = 2,282,410,913.16
  5. Step 5: Solve for x
    x = 2,282,410,913.16/55,143.50
  6. Step 6: Final answer
    x = 41,390.39

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1.5x scale

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.