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Finding the Fourth Proportional to 153,601, 211,969.38 and 82,945

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Solution

The fourth proportional to 153,601, 211,969.38 and 82,945 is: 114,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,601 : 211,969.38 = 82,945 : x
  2. Step 2: Convert to fraction form
    153,601/211,969.38 = 82,945/x
  3. Step 3: Cross multiply
    153,601x = 211,969.38 × 82,945
  4. Step 4: Simplify right side
    153,601x = 17,581,800,224.10
  5. Step 5: Solve for x
    x = 17,581,800,224.10/153,601
  6. Step 6: Final answer
    x = 114,464.10

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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.