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Finding the Fourth Proportional to 57,309.60, 85,964.40 and 54,029.10

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Solution

The fourth proportional to 57,309.60, 85,964.40 and 54,029.10 is: 81,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.60 : 85,964.40 = 54,029.10 : x
  2. Step 2: Convert to fraction form
    57,309.60/85,964.40 = 54,029.10/x
  3. Step 3: Cross multiply
    57,309.60x = 85,964.40 × 54,029.10
  4. Step 4: Simplify right side
    57,309.60x = 4,644,579,164.04
  5. Step 5: Solve for x
    x = 4,644,579,164.04/57,309.60
  6. Step 6: Final answer
    x = 81,043.65

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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.