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Finding the Fourth Proportional to 213,876.72, 320,634.63 and 134,816.67

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Solution

The fourth proportional to 213,876.72, 320,634.63 and 134,816.67 is: 202,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876.72 : 320,634.63 = 134,816.67 : x
  2. Step 2: Convert to fraction form
    213,876.72/320,634.63 = 134,816.67/x
  3. Step 3: Cross multiply
    213,876.72x = 320,634.63 × 134,816.67
  4. Step 4: Simplify right side
    213,876.72x = 43,226,893,103.28
  5. Step 5: Solve for x
    x = 43,226,893,103.28/213,876.72
  6. Step 6: Final answer
    x = 202,111.26

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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.