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Finding the Fourth Proportional to 150,980.85, 208,356.21 and 83,000.69

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Solution

The fourth proportional to 150,980.85, 208,356.21 and 83,000.69 is: 114,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.85 : 208,356.21 = 83,000.69 : x
  2. Step 2: Convert to fraction form
    150,980.85/208,356.21 = 83,000.69/x
  3. Step 3: Cross multiply
    150,980.85x = 208,356.21 × 83,000.69
  4. Step 4: Simplify right side
    150,980.85x = 17,293,707,739.00
  5. Step 5: Solve for x
    x = 17,293,707,739.00/150,980.85
  6. Step 6: Final answer
    x = 114,542.39

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1.5x scale

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.