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Finding the Fourth Proportional to 223,881.82, 309,162.15 and 142,236.45

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Solution

The fourth proportional to 223,881.82, 309,162.15 and 142,236.45 is: 196,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,881.82 : 309,162.15 = 142,236.45 : x
  2. Step 2: Convert to fraction form
    223,881.82/309,162.15 = 142,236.45/x
  3. Step 3: Cross multiply
    223,881.82x = 309,162.15 × 142,236.45
  4. Step 4: Simplify right side
    223,881.82x = 43,974,126,690.37
  5. Step 5: Solve for x
    x = 43,974,126,690.37/223,881.82
  6. Step 6: Final answer
    x = 196,416.70

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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.