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Finding the Fourth Proportional to 223,564.25, 308,515.64 and 121,587.51

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Solution

The fourth proportional to 223,564.25, 308,515.64 and 121,587.51 is: 167,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,564.25 : 308,515.64 = 121,587.51 : x
  2. Step 2: Convert to fraction form
    223,564.25/308,515.64 = 121,587.51/x
  3. Step 3: Cross multiply
    223,564.25x = 308,515.64 × 121,587.51
  4. Step 4: Simplify right side
    223,564.25x = 37,511,649,012.65
  5. Step 5: Solve for x
    x = 37,511,649,012.65/223,564.25
  6. Step 6: Final answer
    x = 167,789.12

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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.