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Finding the Fourth Proportional to 213,894.95, 321,157.83 and 119,309.94

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Solution

The fourth proportional to 213,894.95, 321,157.83 and 119,309.94 is: 179,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894.95 : 321,157.83 = 119,309.94 : x
  2. Step 2: Convert to fraction form
    213,894.95/321,157.83 = 119,309.94/x
  3. Step 3: Cross multiply
    213,894.95x = 321,157.83 × 119,309.94
  4. Step 4: Simplify right side
    213,894.95x = 38,317,321,427.83
  5. Step 5: Solve for x
    x = 38,317,321,427.83/213,894.95
  6. Step 6: Final answer
    x = 179,140.84

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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.