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Finding the Fourth Proportional to 87,323.50, 120,506.43 and 47,579.50

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Solution

The fourth proportional to 87,323.50, 120,506.43 and 47,579.50 is: 65,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,323.50 : 120,506.43 = 47,579.50 : x
  2. Step 2: Convert to fraction form
    87,323.50/120,506.43 = 47,579.50/x
  3. Step 3: Cross multiply
    87,323.50x = 120,506.43 × 47,579.50
  4. Step 4: Simplify right side
    87,323.50x = 5,733,635,686.19
  5. Step 5: Solve for x
    x = 5,733,635,686.19/87,323.50
  6. Step 6: Final answer
    x = 65,659.71

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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.