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Finding the Fourth Proportional to 213,980.40, 320,789.97 and 134,920.35

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Solution

The fourth proportional to 213,980.40, 320,789.97 and 134,920.35 is: 202,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,980.40 : 320,789.97 = 134,920.35 : x
  2. Step 2: Convert to fraction form
    213,980.40/320,789.97 = 134,920.35/x
  3. Step 3: Cross multiply
    213,980.40x = 320,789.97 × 134,920.35
  4. Step 4: Simplify right side
    213,980.40x = 43,281,095,028.89
  5. Step 5: Solve for x
    x = 43,281,095,028.89/213,980.40
  6. Step 6: Final answer
    x = 202,266.63

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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.