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Finding the Fourth Proportional to 147,702.86, 203,828.91 and 80,634.86

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Solution

The fourth proportional to 147,702.86, 203,828.91 and 80,634.86 is: 111,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,702.86 : 203,828.91 = 80,634.86 : x
  2. Step 2: Convert to fraction form
    147,702.86/203,828.91 = 80,634.86/x
  3. Step 3: Cross multiply
    147,702.86x = 203,828.91 × 80,634.86
  4. Step 4: Simplify right side
    147,702.86x = 16,435,715,621.80
  5. Step 5: Solve for x
    x = 16,435,715,621.80/147,702.86
  6. Step 6: Final answer
    x = 111,275.54

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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.