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Finding the Fourth Proportional to 210,284.70, 290,199.69 and 119,638.41

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Solution

The fourth proportional to 210,284.70, 290,199.69 and 119,638.41 is: 165,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,284.70 : 290,199.69 = 119,638.41 : x
  2. Step 2: Convert to fraction form
    210,284.70/290,199.69 = 119,638.41/x
  3. Step 3: Cross multiply
    210,284.70x = 290,199.69 × 119,638.41
  4. Step 4: Simplify right side
    210,284.70x = 34,719,029,494.09
  5. Step 5: Solve for x
    x = 34,719,029,494.09/210,284.70
  6. Step 6: Final answer
    x = 165,104.88

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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.