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Finding the Fourth Proportional to 223,256.26, 308,104.35 and 137,219

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Solution

The fourth proportional to 223,256.26, 308,104.35 and 137,219 is: 189,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,256.26 : 308,104.35 = 137,219 : x
  2. Step 2: Convert to fraction form
    223,256.26/308,104.35 = 137,219/x
  3. Step 3: Cross multiply
    223,256.26x = 308,104.35 × 137,219
  4. Step 4: Simplify right side
    223,256.26x = 42,277,770,802.65
  5. Step 5: Solve for x
    x = 42,277,770,802.65/223,256.26
  6. Step 6: Final answer
    x = 189,368.80

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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.