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Finding the Fourth Proportional to 55,146, 76,101.84 and 29,995.68

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Solution

The fourth proportional to 55,146, 76,101.84 and 29,995.68 is: 41,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,146 : 76,101.84 = 29,995.68 : x
  2. Step 2: Convert to fraction form
    55,146/76,101.84 = 29,995.68/x
  3. Step 3: Cross multiply
    55,146x = 76,101.84 × 29,995.68
  4. Step 4: Simplify right side
    55,146x = 2,282,726,440.05
  5. Step 5: Solve for x
    x = 2,282,726,440.05/55,146
  6. Step 6: Final answer
    x = 41,394.23

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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.