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Finding the Fourth Proportional to 150,984.80, 208,363.03 and 82,078.89

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Solution

The fourth proportional to 150,984.80, 208,363.03 and 82,078.89 is: 113,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984.80 : 208,363.03 = 82,078.89 : x
  2. Step 2: Convert to fraction form
    150,984.80/208,363.03 = 82,078.89/x
  3. Step 3: Cross multiply
    150,984.80x = 208,363.03 × 82,078.89
  4. Step 4: Simplify right side
    150,984.80x = 17,102,206,014.24
  5. Step 5: Solve for x
    x = 17,102,206,014.24/150,984.80
  6. Step 6: Final answer
    x = 113,271.05

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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.