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Finding the Fourth Proportional to 55,054.46, 75,980.46 and 30,855.30

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Solution

The fourth proportional to 55,054.46, 75,980.46 and 30,855.30 is: 42,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,054.46 : 75,980.46 = 30,855.30 : x
  2. Step 2: Convert to fraction form
    55,054.46/75,980.46 = 30,855.30/x
  3. Step 3: Cross multiply
    55,054.46x = 75,980.46 × 30,855.30
  4. Step 4: Simplify right side
    55,054.46x = 2,344,400,098.96
  5. Step 5: Solve for x
    x = 2,344,400,098.96/55,054.46
  6. Step 6: Final answer
    x = 42,583.29

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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.