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Finding the Fourth Proportional to 196,292.80, 270,885.38 and 111,411.28

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Solution

The fourth proportional to 196,292.80, 270,885.38 and 111,411.28 is: 153,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,292.80 : 270,885.38 = 111,411.28 : x
  2. Step 2: Convert to fraction form
    196,292.80/270,885.38 = 111,411.28/x
  3. Step 3: Cross multiply
    196,292.80x = 270,885.38 × 111,411.28
  4. Step 4: Simplify right side
    196,292.80x = 30,179,686,919.09
  5. Step 5: Solve for x
    x = 30,179,686,919.09/196,292.80
  6. Step 6: Final answer
    x = 153,748.31

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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.