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Finding the Fourth Proportional to 188,649, 282,975.42 and 57,321

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Solution

The fourth proportional to 188,649, 282,975.42 and 57,321 is: 85,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,649 : 282,975.42 = 57,321 : x
  2. Step 2: Convert to fraction form
    188,649/282,975.42 = 57,321/x
  3. Step 3: Cross multiply
    188,649x = 282,975.42 × 57,321
  4. Step 4: Simplify right side
    188,649x = 16,220,434,049.82
  5. Step 5: Solve for x
    x = 16,220,434,049.82/188,649
  6. Step 6: Final answer
    x = 85,982.08

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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.