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Finding the Fourth Proportional to 223,364, 308,242.32 and 122,762

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Solution

The fourth proportional to 223,364, 308,242.32 and 122,762 is: 169,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,364 : 308,242.32 = 122,762 : x
  2. Step 2: Convert to fraction form
    223,364/308,242.32 = 122,762/x
  3. Step 3: Cross multiply
    223,364x = 308,242.32 × 122,762
  4. Step 4: Simplify right side
    223,364x = 37,840,443,687.84
  5. Step 5: Solve for x
    x = 37,840,443,687.84/223,364
  6. Step 6: Final answer
    x = 169,411.56

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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.