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Finding the Fourth Proportional to 218,407.06, 301,351.89 and 122,878.90

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Solution

The fourth proportional to 218,407.06, 301,351.89 and 122,878.90 is: 169,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,407.06 : 301,351.89 = 122,878.90 : x
  2. Step 2: Convert to fraction form
    218,407.06/301,351.89 = 122,878.90/x
  3. Step 3: Cross multiply
    218,407.06x = 301,351.89 × 122,878.90
  4. Step 4: Simplify right side
    218,407.06x = 37,029,788,756.12
  5. Step 5: Solve for x
    x = 37,029,788,756.12/218,407.06
  6. Step 6: Final answer
    x = 169,544.83

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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.