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Finding the Fourth Proportional to 210,684.92, 290,745.84 and 115,193.20

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Solution

The fourth proportional to 210,684.92, 290,745.84 and 115,193.20 is: 158,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,684.92 : 290,745.84 = 115,193.20 : x
  2. Step 2: Convert to fraction form
    210,684.92/290,745.84 = 115,193.20/x
  3. Step 3: Cross multiply
    210,684.92x = 290,745.84 × 115,193.20
  4. Step 4: Simplify right side
    210,684.92x = 33,491,943,696.29
  5. Step 5: Solve for x
    x = 33,491,943,696.29/210,684.92
  6. Step 6: Final answer
    x = 158,966.97

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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.