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Finding the Fourth Proportional to 210,269.54, 290,128.64 and 120,828.26

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Solution

The fourth proportional to 210,269.54, 290,128.64 and 120,828.26 is: 166,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,269.54 : 290,128.64 = 120,828.26 : x
  2. Step 2: Convert to fraction form
    210,269.54/290,128.64 = 120,828.26/x
  3. Step 3: Cross multiply
    210,269.54x = 290,128.64 × 120,828.26
  4. Step 4: Simplify right side
    210,269.54x = 35,055,738,747.37
  5. Step 5: Solve for x
    x = 35,055,738,747.37/210,269.54
  6. Step 6: Final answer
    x = 166,718.10

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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.