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Finding the Fourth Proportional to 210,447.64, 290,414.10 and 114,951.88

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Solution

The fourth proportional to 210,447.64, 290,414.10 and 114,951.88 is: 158,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,447.64 : 290,414.10 = 114,951.88 : x
  2. Step 2: Convert to fraction form
    210,447.64/290,414.10 = 114,951.88/x
  3. Step 3: Cross multiply
    210,447.64x = 290,414.10 × 114,951.88
  4. Step 4: Simplify right side
    210,447.64x = 33,383,646,773.51
  5. Step 5: Solve for x
    x = 33,383,646,773.51/210,447.64
  6. Step 6: Final answer
    x = 158,631.60

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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.