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Finding the Fourth Proportional to 210,458.94, 290,439.72 and 114,971.78

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Solution

The fourth proportional to 210,458.94, 290,439.72 and 114,971.78 is: 158,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.94 : 290,439.72 = 114,971.78 : x
  2. Step 2: Convert to fraction form
    210,458.94/290,439.72 = 114,971.78/x
  3. Step 3: Cross multiply
    210,458.94x = 290,439.72 × 114,971.78
  4. Step 4: Simplify right side
    210,458.94x = 33,392,371,016.24
  5. Step 5: Solve for x
    x = 33,392,371,016.24/210,458.94
  6. Step 6: Final answer
    x = 158,664.54

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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.