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Finding the Fourth Proportional to 85,702.15, 128,504.01 and 45,671.85

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Solution

The fourth proportional to 85,702.15, 128,504.01 and 45,671.85 is: 68,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,702.15 : 128,504.01 = 45,671.85 : x
  2. Step 2: Convert to fraction form
    85,702.15/128,504.01 = 45,671.85/x
  3. Step 3: Cross multiply
    85,702.15x = 128,504.01 × 45,671.85
  4. Step 4: Simplify right side
    85,702.15x = 5,869,015,697.85
  5. Step 5: Solve for x
    x = 5,869,015,697.85/85,702.15
  6. Step 6: Final answer
    x = 68,481.54

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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.