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Finding the Fourth Proportional to 85,564.62, 128,310.08 and 29,410.43

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Solution

The fourth proportional to 85,564.62, 128,310.08 and 29,410.43 is: 44,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,564.62 : 128,310.08 = 29,410.43 : x
  2. Step 2: Convert to fraction form
    85,564.62/128,310.08 = 29,410.43/x
  3. Step 3: Cross multiply
    85,564.62x = 128,310.08 × 29,410.43
  4. Step 4: Simplify right side
    85,564.62x = 3,773,653,837.53
  5. Step 5: Solve for x
    x = 3,773,653,837.53/85,564.62
  6. Step 6: Final answer
    x = 44,102.97

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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.