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Finding the Fourth Proportional to 55,912.60, 83,844.60 and 18,458.20

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Solution

The fourth proportional to 55,912.60, 83,844.60 and 18,458.20 is: 27,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912.60 : 83,844.60 = 18,458.20 : x
  2. Step 2: Convert to fraction form
    55,912.60/83,844.60 = 18,458.20/x
  3. Step 3: Cross multiply
    55,912.60x = 83,844.60 × 18,458.20
  4. Step 4: Simplify right side
    55,912.60x = 1,547,620,395.72
  5. Step 5: Solve for x
    x = 1,547,620,395.72/55,912.60
  6. Step 6: Final answer
    x = 27,679.28

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Why These Related Problems?

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