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Finding the Fourth Proportional to 188,714.94, 283,065.12 and 70,386.09

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Solution

The fourth proportional to 188,714.94, 283,065.12 and 70,386.09 is: 105,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.94 : 283,065.12 = 70,386.09 : x
  2. Step 2: Convert to fraction form
    188,714.94/283,065.12 = 70,386.09/x
  3. Step 3: Cross multiply
    188,714.94x = 283,065.12 × 70,386.09
  4. Step 4: Simplify right side
    188,714.94x = 19,923,847,012.18
  5. Step 5: Solve for x
    x = 19,923,847,012.18/188,714.94
  6. Step 6: Final answer
    x = 105,576.42

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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.