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Finding the Fourth Proportional to 74,049.72, 102,222.36 and 47,229

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Solution

The fourth proportional to 74,049.72, 102,222.36 and 47,229 is: 65,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049.72 : 102,222.36 = 47,229 : x
  2. Step 2: Convert to fraction form
    74,049.72/102,222.36 = 47,229/x
  3. Step 3: Cross multiply
    74,049.72x = 102,222.36 × 47,229
  4. Step 4: Simplify right side
    74,049.72x = 4,827,859,840.44
  5. Step 5: Solve for x
    x = 4,827,859,840.44/74,049.72
  6. Step 6: Final answer
    x = 65,197.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.