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Finding the Fourth Proportional to 85,714.98, 128,655.40 and 41,372.94

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Solution

The fourth proportional to 85,714.98, 128,655.40 and 41,372.94 is: 62,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.98 : 128,655.40 = 41,372.94 : x
  2. Step 2: Convert to fraction form
    85,714.98/128,655.40 = 41,372.94/x
  3. Step 3: Cross multiply
    85,714.98x = 128,655.40 × 41,372.94
  4. Step 4: Simplify right side
    85,714.98x = 5,322,852,144.88
  5. Step 5: Solve for x
    x = 5,322,852,144.88/85,714.98
  6. Step 6: Final answer
    x = 62,099.44

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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.