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Finding the Fourth Proportional to 112,297, 168,489.30 and 42,181.84

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Solution

The fourth proportional to 112,297, 168,489.30 and 42,181.84 is: 63,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,297 : 168,489.30 = 42,181.84 : x
  2. Step 2: Convert to fraction form
    112,297/168,489.30 = 42,181.84/x
  3. Step 3: Cross multiply
    112,297x = 168,489.30 × 42,181.84
  4. Step 4: Simplify right side
    112,297x = 7,107,188,694.31
  5. Step 5: Solve for x
    x = 7,107,188,694.31/112,297
  6. Step 6: Final answer
    x = 63,289.21

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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.