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Finding the Fourth Proportional to 223,785.56, 308,830.54 and 121,817.64

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Solution

The fourth proportional to 223,785.56, 308,830.54 and 121,817.64 is: 168,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,785.56 : 308,830.54 = 121,817.64 : x
  2. Step 2: Convert to fraction form
    223,785.56/308,830.54 = 121,817.64/x
  3. Step 3: Cross multiply
    223,785.56x = 308,830.54 × 121,817.64
  4. Step 4: Simplify right side
    223,785.56x = 37,621,007,542.73
  5. Step 5: Solve for x
    x = 37,621,007,542.73/223,785.56
  6. Step 6: Final answer
    x = 168,111.86

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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.