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Finding the Fourth Proportional to 87,030, 120,102.12 and 47,286

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Solution

The fourth proportional to 87,030, 120,102.12 and 47,286 is: 65,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,030 : 120,102.12 = 47,286 : x
  2. Step 2: Convert to fraction form
    87,030/120,102.12 = 47,286/x
  3. Step 3: Cross multiply
    87,030x = 120,102.12 × 47,286
  4. Step 4: Simplify right side
    87,030x = 5,679,148,846.32
  5. Step 5: Solve for x
    x = 5,679,148,846.32/87,030
  6. Step 6: Final answer
    x = 65,255.07

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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.