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Finding the Fourth Proportional to 150,958.78, 208,328.14 and 82,978.18

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Solution

The fourth proportional to 150,958.78, 208,328.14 and 82,978.18 is: 114,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,958.78 : 208,328.14 = 82,978.18 : x
  2. Step 2: Convert to fraction form
    150,958.78/208,328.14 = 82,978.18/x
  3. Step 3: Cross multiply
    150,958.78x = 208,328.14 × 82,978.18
  4. Step 4: Simplify right side
    150,958.78x = 17,286,689,899.99
  5. Step 5: Solve for x
    x = 17,286,689,899.99/150,958.78
  6. Step 6: Final answer
    x = 114,512.65

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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.