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Finding the Fourth Proportional to 223,580.36, 308,534.46 and 122,978.36

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Solution

The fourth proportional to 223,580.36, 308,534.46 and 122,978.36 is: 169,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,580.36 : 308,534.46 = 122,978.36 : x
  2. Step 2: Convert to fraction form
    223,580.36/308,534.46 = 122,978.36/x
  3. Step 3: Cross multiply
    223,580.36x = 308,534.46 × 122,978.36
  4. Step 4: Simplify right side
    223,580.36x = 37,943,061,894.29
  5. Step 5: Solve for x
    x = 37,943,061,894.29/223,580.36
  6. Step 6: Final answer
    x = 169,706.60

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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.