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Finding the Fourth Proportional to 57,307, 85,951.06 and 15,189.70

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Solution

The fourth proportional to 57,307, 85,951.06 and 15,189.70 is: 22,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,307 : 85,951.06 = 15,189.70 : x
  2. Step 2: Convert to fraction form
    57,307/85,951.06 = 15,189.70/x
  3. Step 3: Cross multiply
    57,307x = 85,951.06 × 15,189.70
  4. Step 4: Simplify right side
    57,307x = 1,305,570,816.08
  5. Step 5: Solve for x
    x = 1,305,570,816.08/57,307
  6. Step 6: Final answer
    x = 22,782.05

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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.