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Finding the Fourth Proportional to 188,128.31, 282,241.67 and 109,166.67

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Solution

The fourth proportional to 188,128.31, 282,241.67 and 109,166.67 is: 163,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,128.31 : 282,241.67 = 109,166.67 : x
  2. Step 2: Convert to fraction form
    188,128.31/282,241.67 = 109,166.67/x
  3. Step 3: Cross multiply
    188,128.31x = 282,241.67 × 109,166.67
  4. Step 4: Simplify right side
    188,128.31x = 30,811,382,703.31
  5. Step 5: Solve for x
    x = 30,811,382,703.31/188,128.31
  6. Step 6: Final answer
    x = 163,778.56

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1.5x scale

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.