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Finding the Fourth Proportional to 210,696.74, 290,840.56 and 138,104.30

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Solution

The fourth proportional to 210,696.74, 290,840.56 and 138,104.30 is: 190,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,696.74 : 290,840.56 = 138,104.30 : x
  2. Step 2: Convert to fraction form
    210,696.74/290,840.56 = 138,104.30/x
  3. Step 3: Cross multiply
    210,696.74x = 290,840.56 × 138,104.30
  4. Step 4: Simplify right side
    210,696.74x = 40,166,332,850.14
  5. Step 5: Solve for x
    x = 40,166,332,850.14/210,696.74
  6. Step 6: Final answer
    x = 190,635.76

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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.