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Finding the Fourth Proportional to 39,870, 55,020.64 and 23,112.72

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Solution

The fourth proportional to 39,870, 55,020.64 and 23,112.72 is: 31,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870 : 55,020.64 = 23,112.72 : x
  2. Step 2: Convert to fraction form
    39,870/55,020.64 = 23,112.72/x
  3. Step 3: Cross multiply
    39,870x = 55,020.64 × 23,112.72
  4. Step 4: Simplify right side
    39,870x = 1,271,676,646.54
  5. Step 5: Solve for x
    x = 1,271,676,646.54/39,870
  6. Step 6: Final answer
    x = 31,895.58

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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.