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Finding the Fourth Proportional to 87,398, 120,609.36 and 47,654

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Solution

The fourth proportional to 87,398, 120,609.36 and 47,654 is: 65,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,398 : 120,609.36 = 47,654 : x
  2. Step 2: Convert to fraction form
    87,398/120,609.36 = 47,654/x
  3. Step 3: Cross multiply
    87,398x = 120,609.36 × 47,654
  4. Step 4: Simplify right side
    87,398x = 5,747,518,441.44
  5. Step 5: Solve for x
    x = 5,747,518,441.44/87,398
  6. Step 6: Final answer
    x = 65,762.59

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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.