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Finding the Fourth Proportional to 210,751.27, 290,863.31 and 138,215.16

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Solution

The fourth proportional to 210,751.27, 290,863.31 and 138,215.16 is: 190,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,751.27 : 290,863.31 = 138,215.16 : x
  2. Step 2: Convert to fraction form
    210,751.27/290,863.31 = 138,215.16/x
  3. Step 3: Cross multiply
    210,751.27x = 290,863.31 × 138,215.16
  4. Step 4: Simplify right side
    210,751.27x = 40,201,718,238.70
  5. Step 5: Solve for x
    x = 40,201,718,238.70/210,751.27
  6. Step 6: Final answer
    x = 190,754.34

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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.