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Finding the Fourth Proportional to 196,320, 270,921.60 and 116,832

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Solution

The fourth proportional to 196,320, 270,921.60 and 116,832 is: 161,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,320 : 270,921.60 = 116,832 : x
  2. Step 2: Convert to fraction form
    196,320/270,921.60 = 116,832/x
  3. Step 3: Cross multiply
    196,320x = 270,921.60 × 116,832
  4. Step 4: Simplify right side
    196,320x = 31,652,312,371.20
  5. Step 5: Solve for x
    x = 31,652,312,371.20/196,320
  6. Step 6: Final answer
    x = 161,228.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.