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Finding the Fourth Proportional to 159,915, 220,702.14 and 92,847

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Solution

The fourth proportional to 159,915, 220,702.14 and 92,847 is: 128,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,915 : 220,702.14 = 92,847 : x
  2. Step 2: Convert to fraction form
    159,915/220,702.14 = 92,847/x
  3. Step 3: Cross multiply
    159,915x = 220,702.14 × 92,847
  4. Step 4: Simplify right side
    159,915x = 20,491,531,592.58
  5. Step 5: Solve for x
    x = 20,491,531,592.58/159,915
  6. Step 6: Final answer
    x = 128,140.15

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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.