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Finding the Fourth Proportional to 210,698.68, 290,843.24 and 138,106.24

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Solution

The fourth proportional to 210,698.68, 290,843.24 and 138,106.24 is: 190,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698.68 : 290,843.24 = 138,106.24 : x
  2. Step 2: Convert to fraction form
    210,698.68/290,843.24 = 138,106.24/x
  3. Step 3: Cross multiply
    210,698.68x = 290,843.24 × 138,106.24
  4. Step 4: Simplify right side
    210,698.68x = 40,167,266,305.82
  5. Step 5: Solve for x
    x = 40,167,266,305.82/210,698.68
  6. Step 6: Final answer
    x = 190,638.43

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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.