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Finding the Fourth Proportional to 223,118, 307,905 and 122,518.16

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Solution

The fourth proportional to 223,118, 307,905 and 122,518.16 is: 169,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,118 : 307,905 = 122,518.16 : x
  2. Step 2: Convert to fraction form
    223,118/307,905 = 122,518.16/x
  3. Step 3: Cross multiply
    223,118x = 307,905 × 122,518.16
  4. Step 4: Simplify right side
    223,118x = 37,723,954,054.80
  5. Step 5: Solve for x
    x = 37,723,954,054.80/223,118
  6. Step 6: Final answer
    x = 169,076.25

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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.