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Finding the Fourth Proportional to 213,458.45, 320,187.68 and 80,368.57

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Solution

The fourth proportional to 213,458.45, 320,187.68 and 80,368.57 is: 120,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,458.45 : 320,187.68 = 80,368.57 : x
  2. Step 2: Convert to fraction form
    213,458.45/320,187.68 = 80,368.57/x
  3. Step 3: Cross multiply
    213,458.45x = 320,187.68 × 80,368.57
  4. Step 4: Simplify right side
    213,458.45x = 25,733,025,973.22
  5. Step 5: Solve for x
    x = 25,733,025,973.22/213,458.45
  6. Step 6: Final answer
    x = 120,552.86

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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.