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Finding the Fourth Proportional to 57,298.40, 85,969.20 and 27,742.40

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Solution

The fourth proportional to 57,298.40, 85,969.20 and 27,742.40 is: 41,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,298.40 : 85,969.20 = 27,742.40 : x
  2. Step 2: Convert to fraction form
    57,298.40/85,969.20 = 27,742.40/x
  3. Step 3: Cross multiply
    57,298.40x = 85,969.20 × 27,742.40
  4. Step 4: Simplify right side
    57,298.40x = 2,384,991,934.08
  5. Step 5: Solve for x
    x = 2,384,991,934.08/57,298.40
  6. Step 6: Final answer
    x = 41,624.06

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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.