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Finding the Fourth Proportional to 201,645.04, 278,287.32 and 111,018.64

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Solution

The fourth proportional to 201,645.04, 278,287.32 and 111,018.64 is: 153,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.04 : 278,287.32 = 111,018.64 : x
  2. Step 2: Convert to fraction form
    201,645.04/278,287.32 = 111,018.64/x
  3. Step 3: Cross multiply
    201,645.04x = 278,287.32 × 111,018.64
  4. Step 4: Simplify right side
    201,645.04x = 30,895,079,795.64
  5. Step 5: Solve for x
    x = 30,895,079,795.64/201,645.04
  6. Step 6: Final answer
    x = 153,215.17

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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.