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Finding the Fourth Proportional to 201,007.76, 277,379.88 and 111,578

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Solution

The fourth proportional to 201,007.76, 277,379.88 and 111,578 is: 153,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,007.76 : 277,379.88 = 111,578 : x
  2. Step 2: Convert to fraction form
    201,007.76/277,379.88 = 111,578/x
  3. Step 3: Cross multiply
    201,007.76x = 277,379.88 × 111,578
  4. Step 4: Simplify right side
    201,007.76x = 30,949,492,250.64
  5. Step 5: Solve for x
    x = 30,949,492,250.64/201,007.76
  6. Step 6: Final answer
    x = 153,971.63

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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.