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Finding the Fourth Proportional to 218,249.46, 301,159.86 and 122,754.11

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Solution

The fourth proportional to 218,249.46, 301,159.86 and 122,754.11 is: 169,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,249.46 : 301,159.86 = 122,754.11 : x
  2. Step 2: Convert to fraction form
    218,249.46/301,159.86 = 122,754.11/x
  3. Step 3: Cross multiply
    218,249.46x = 301,159.86 × 122,754.11
  4. Step 4: Simplify right side
    218,249.46x = 36,968,609,076.23
  5. Step 5: Solve for x
    x = 36,968,609,076.23/218,249.46
  6. Step 6: Final answer
    x = 169,386.94

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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.