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Finding the Fourth Proportional to 57,205.40, 85,816.20 and 17,758.40

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Solution

The fourth proportional to 57,205.40, 85,816.20 and 17,758.40 is: 26,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.40 : 85,816.20 = 17,758.40 : x
  2. Step 2: Convert to fraction form
    57,205.40/85,816.20 = 17,758.40/x
  3. Step 3: Cross multiply
    57,205.40x = 85,816.20 × 17,758.40
  4. Step 4: Simplify right side
    57,205.40x = 1,523,958,406.08
  5. Step 5: Solve for x
    x = 1,523,958,406.08/57,205.40
  6. Step 6: Final answer
    x = 26,640.11

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1.5x scale

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.