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Finding the Fourth Proportional to 203,702.22, 305,454.90 and 85,341.78

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Solution

The fourth proportional to 203,702.22, 305,454.90 and 85,341.78 is: 127,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,702.22 : 305,454.90 = 85,341.78 : x
  2. Step 2: Convert to fraction form
    203,702.22/305,454.90 = 85,341.78/x
  3. Step 3: Cross multiply
    203,702.22x = 305,454.90 × 85,341.78
  4. Step 4: Simplify right side
    203,702.22x = 26,068,064,875.72
  5. Step 5: Solve for x
    x = 26,068,064,875.72/203,702.22
  6. Step 6: Final answer
    x = 127,971.43

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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.