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Finding the Fourth Proportional to 166,511.70, 249,767.55 and 82,287.90

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Solution

The fourth proportional to 166,511.70, 249,767.55 and 82,287.90 is: 123,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,511.70 : 249,767.55 = 82,287.90 : x
  2. Step 2: Convert to fraction form
    166,511.70/249,767.55 = 82,287.90/x
  3. Step 3: Cross multiply
    166,511.70x = 249,767.55 × 82,287.90
  4. Step 4: Simplify right side
    166,511.70x = 20,552,847,177.65
  5. Step 5: Solve for x
    x = 20,552,847,177.65/166,511.70
  6. Step 6: Final answer
    x = 123,431.85

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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.