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Finding the Fourth Proportional to 55,175.65, 76,140.14 and 31,301.84

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Solution

The fourth proportional to 55,175.65, 76,140.14 and 31,301.84 is: 43,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,175.65 : 76,140.14 = 31,301.84 : x
  2. Step 2: Convert to fraction form
    55,175.65/76,140.14 = 31,301.84/x
  3. Step 3: Cross multiply
    55,175.65x = 76,140.14 × 31,301.84
  4. Step 4: Simplify right side
    55,175.65x = 2,383,326,513.70
  5. Step 5: Solve for x
    x = 2,383,326,513.70/55,175.65
  6. Step 6: Final answer
    x = 43,195.26

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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.