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Finding the Fourth Proportional to 85,714.21, 128,591.70 and 35,766.55

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Solution

The fourth proportional to 85,714.21, 128,591.70 and 35,766.55 is: 53,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.21 : 128,591.70 = 35,766.55 : x
  2. Step 2: Convert to fraction form
    85,714.21/128,591.70 = 35,766.55/x
  3. Step 3: Cross multiply
    85,714.21x = 128,591.70 × 35,766.55
  4. Step 4: Simplify right side
    85,714.21x = 4,599,281,467.64
  5. Step 5: Solve for x
    x = 4,599,281,467.64/85,714.21
  6. Step 6: Final answer
    x = 53,658.33

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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.