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Finding the Fourth Proportional to 210,684.94, 290,745.32 and 115,192.42

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Solution

The fourth proportional to 210,684.94, 290,745.32 and 115,192.42 is: 158,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,684.94 : 290,745.32 = 115,192.42 : x
  2. Step 2: Convert to fraction form
    210,684.94/290,745.32 = 115,192.42/x
  3. Step 3: Cross multiply
    210,684.94x = 290,745.32 × 115,192.42
  4. Step 4: Simplify right side
    210,684.94x = 33,491,655,711.65
  5. Step 5: Solve for x
    x = 33,491,655,711.65/210,684.94
  6. Step 6: Final answer
    x = 158,965.59

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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.