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Finding the Fourth Proportional to 223,712.15, 308,724.08 and 121,738.41

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Solution

The fourth proportional to 223,712.15, 308,724.08 and 121,738.41 is: 167,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,712.15 : 308,724.08 = 121,738.41 : x
  2. Step 2: Convert to fraction form
    223,712.15/308,724.08 = 121,738.41/x
  3. Step 3: Cross multiply
    223,712.15x = 308,724.08 × 121,738.41
  4. Step 4: Simplify right side
    223,712.15x = 37,583,578,019.22
  5. Step 5: Solve for x
    x = 37,583,578,019.22/223,712.15
  6. Step 6: Final answer
    x = 167,999.72

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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.