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Finding the Fourth Proportional to 111,962.14, 154,514.25 and 84,317.32

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Solution

The fourth proportional to 111,962.14, 154,514.25 and 84,317.32 is: 116,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,962.14 : 154,514.25 = 84,317.32 : x
  2. Step 2: Convert to fraction form
    111,962.14/154,514.25 = 84,317.32/x
  3. Step 3: Cross multiply
    111,962.14x = 154,514.25 × 84,317.32
  4. Step 4: Simplify right side
    111,962.14x = 13,028,226,647.38
  5. Step 5: Solve for x
    x = 13,028,226,647.38/111,962.14
  6. Step 6: Final answer
    x = 116,362.79

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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.