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Finding the Fourth Proportional to 188,768.88, 282,889.32 and 141,966.96

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Solution

The fourth proportional to 188,768.88, 282,889.32 and 141,966.96 is: 212,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768.88 : 282,889.32 = 141,966.96 : x
  2. Step 2: Convert to fraction form
    188,768.88/282,889.32 = 141,966.96/x
  3. Step 3: Cross multiply
    188,768.88x = 282,889.32 × 141,966.96
  4. Step 4: Simplify right side
    188,768.88x = 40,160,936,776.87
  5. Step 5: Solve for x
    x = 40,160,936,776.87/188,768.88
  6. Step 6: Final answer
    x = 212,751.89

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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.