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Finding the Fourth Proportional to 55,141.40, 82,712.10 and 34,098.20

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Solution

The fourth proportional to 55,141.40, 82,712.10 and 34,098.20 is: 51,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,141.40 : 82,712.10 = 34,098.20 : x
  2. Step 2: Convert to fraction form
    55,141.40/82,712.10 = 34,098.20/x
  3. Step 3: Cross multiply
    55,141.40x = 82,712.10 × 34,098.20
  4. Step 4: Simplify right side
    55,141.40x = 2,820,333,728.22
  5. Step 5: Solve for x
    x = 2,820,333,728.22/55,141.40
  6. Step 6: Final answer
    x = 51,147.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.