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Finding the Fourth Proportional to 213,969.60, 320,863.68 and 114,108.48

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Solution

The fourth proportional to 213,969.60, 320,863.68 and 114,108.48 is: 171,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969.60 : 320,863.68 = 114,108.48 : x
  2. Step 2: Convert to fraction form
    213,969.60/320,863.68 = 114,108.48/x
  3. Step 3: Cross multiply
    213,969.60x = 320,863.68 × 114,108.48
  4. Step 4: Simplify right side
    213,969.60x = 36,613,266,812.01
  5. Step 5: Solve for x
    x = 36,613,266,812.01/213,969.60
  6. Step 6: Final answer
    x = 171,114.34

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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.