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Finding the Fourth Proportional to 218,253.30, 301,186.53 and 122,760.06

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Solution

The fourth proportional to 218,253.30, 301,186.53 and 122,760.06 is: 169,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,253.30 : 301,186.53 = 122,760.06 : x
  2. Step 2: Convert to fraction form
    218,253.30/301,186.53 = 122,760.06/x
  3. Step 3: Cross multiply
    218,253.30x = 301,186.53 × 122,760.06
  4. Step 4: Simplify right side
    218,253.30x = 36,973,676,493.99
  5. Step 5: Solve for x
    x = 36,973,676,493.99/218,253.30
  6. Step 6: Final answer
    x = 169,407.18

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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.