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Finding the Fourth Proportional to 209,419.58, 314,127.93 and 84,758.78

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Solution

The fourth proportional to 209,419.58, 314,127.93 and 84,758.78 is: 127,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,419.58 : 314,127.93 = 84,758.78 : x
  2. Step 2: Convert to fraction form
    209,419.58/314,127.93 = 84,758.78/x
  3. Step 3: Cross multiply
    209,419.58x = 314,127.93 × 84,758.78
  4. Step 4: Simplify right side
    209,419.58x = 26,625,100,110.73
  5. Step 5: Solve for x
    x = 26,625,100,110.73/209,419.58
  6. Step 6: Final answer
    x = 127,137.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.