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Finding the Fourth Proportional to 223,267.50, 308,114.01 and 122,665.50

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Solution

The fourth proportional to 223,267.50, 308,114.01 and 122,665.50 is: 169,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,267.50 : 308,114.01 = 122,665.50 : x
  2. Step 2: Convert to fraction form
    223,267.50/308,114.01 = 122,665.50/x
  3. Step 3: Cross multiply
    223,267.50x = 308,114.01 × 122,665.50
  4. Step 4: Simplify right side
    223,267.50x = 37,794,959,093.66
  5. Step 5: Solve for x
    x = 37,794,959,093.66/223,267.50
  6. Step 6: Final answer
    x = 169,281.06

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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.