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Finding the Fourth Proportional to 55,045.99, 75,977.04 and 31,186.75

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Solution

The fourth proportional to 55,045.99, 75,977.04 and 31,186.75 is: 43,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,045.99 : 75,977.04 = 31,186.75 : x
  2. Step 2: Convert to fraction form
    55,045.99/75,977.04 = 31,186.75/x
  3. Step 3: Cross multiply
    55,045.99x = 75,977.04 × 31,186.75
  4. Step 4: Simplify right side
    55,045.99x = 2,369,476,952.22
  5. Step 5: Solve for x
    x = 2,369,476,952.22/55,045.99
  6. Step 6: Final answer
    x = 43,045.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.