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Finding the Fourth Proportional to 223,804, 308,849.52 and 128,342.26

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Solution

The fourth proportional to 223,804, 308,849.52 and 128,342.26 is: 177,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,804 : 308,849.52 = 128,342.26 : x
  2. Step 2: Convert to fraction form
    223,804/308,849.52 = 128,342.26/x
  3. Step 3: Cross multiply
    223,804x = 308,849.52 × 128,342.26
  4. Step 4: Simplify right side
    223,804x = 39,638,445,396.72
  5. Step 5: Solve for x
    x = 39,638,445,396.72/223,804
  6. Step 6: Final answer
    x = 177,112.32

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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.