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Finding the Fourth Proportional to 75,910.51, 113,871.21 and 21,872.98

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Solution

The fourth proportional to 75,910.51, 113,871.21 and 21,872.98 is: 32,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,910.51 : 113,871.21 = 21,872.98 : x
  2. Step 2: Convert to fraction form
    75,910.51/113,871.21 = 21,872.98/x
  3. Step 3: Cross multiply
    75,910.51x = 113,871.21 × 21,872.98
  4. Step 4: Simplify right side
    75,910.51x = 2,490,702,698.91
  5. Step 5: Solve for x
    x = 2,490,702,698.91/75,910.51
  6. Step 6: Final answer
    x = 32,811.04

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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.