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Finding the Fourth Proportional to 218,440.80, 301,462.56 and 122,938.56

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Solution

The fourth proportional to 218,440.80, 301,462.56 and 122,938.56 is: 169,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,440.80 : 301,462.56 = 122,938.56 : x
  2. Step 2: Convert to fraction form
    218,440.80/301,462.56 = 122,938.56/x
  3. Step 3: Cross multiply
    218,440.80x = 301,462.56 × 122,938.56
  4. Step 4: Simplify right side
    218,440.80x = 37,061,373,020.31
  5. Step 5: Solve for x
    x = 37,061,373,020.31/218,440.80
  6. Step 6: Final answer
    x = 169,663.24

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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.