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Finding the Fourth Proportional to 223,887.70, 308,964.54 and 121,911.58

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Solution

The fourth proportional to 223,887.70, 308,964.54 and 121,911.58 is: 168,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,887.70 : 308,964.54 = 121,911.58 : x
  2. Step 2: Convert to fraction form
    223,887.70/308,964.54 = 121,911.58/x
  3. Step 3: Cross multiply
    223,887.70x = 308,964.54 × 121,911.58
  4. Step 4: Simplify right side
    223,887.70x = 37,666,355,235.37
  5. Step 5: Solve for x
    x = 37,666,355,235.37/223,887.70
  6. Step 6: Final answer
    x = 168,237.72

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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.