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Finding the Fourth Proportional to 210,504.84, 290,399.22 and 121,029

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Solution

The fourth proportional to 210,504.84, 290,399.22 and 121,029 is: 166,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,504.84 : 290,399.22 = 121,029 : x
  2. Step 2: Convert to fraction form
    210,504.84/290,399.22 = 121,029/x
  3. Step 3: Cross multiply
    210,504.84x = 290,399.22 × 121,029
  4. Step 4: Simplify right side
    210,504.84x = 35,146,727,197.38
  5. Step 5: Solve for x
    x = 35,146,727,197.38/210,504.84
  6. Step 6: Final answer
    x = 166,963.99

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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.