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Finding the Fourth Proportional to 159,257.80, 219,770.17 and 87,635.98

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Solution

The fourth proportional to 159,257.80, 219,770.17 and 87,635.98 is: 120,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,257.80 : 219,770.17 = 87,635.98 : x
  2. Step 2: Convert to fraction form
    159,257.80/219,770.17 = 87,635.98/x
  3. Step 3: Cross multiply
    159,257.80x = 219,770.17 × 87,635.98
  4. Step 4: Simplify right side
    159,257.80x = 19,259,774,222.72
  5. Step 5: Solve for x
    x = 19,259,774,222.72/159,257.80
  6. Step 6: Final answer
    x = 120,934.57

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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.