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Finding the Fourth Proportional to 85,384.83, 128,083.40 and 32,794.32

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Solution

The fourth proportional to 85,384.83, 128,083.40 and 32,794.32 is: 49,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.83 : 128,083.40 = 32,794.32 : x
  2. Step 2: Convert to fraction form
    85,384.83/128,083.40 = 32,794.32/x
  3. Step 3: Cross multiply
    85,384.83x = 128,083.40 × 32,794.32
  4. Step 4: Simplify right side
    85,384.83x = 4,200,408,006.29
  5. Step 5: Solve for x
    x = 4,200,408,006.29/85,384.83
  6. Step 6: Final answer
    x = 49,193.84

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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.