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Finding the Fourth Proportional to 149,148.59, 205,825.05 and 82,080.59

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Solution

The fourth proportional to 149,148.59, 205,825.05 and 82,080.59 is: 113,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,148.59 : 205,825.05 = 82,080.59 : x
  2. Step 2: Convert to fraction form
    149,148.59/205,825.05 = 82,080.59/x
  3. Step 3: Cross multiply
    149,148.59x = 205,825.05 × 82,080.59
  4. Step 4: Simplify right side
    149,148.59x = 16,894,240,511.65
  5. Step 5: Solve for x
    x = 16,894,240,511.65/149,148.59
  6. Step 6: Final answer
    x = 113,271.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.