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Finding the Fourth Proportional to 201,433.92, 277,979.04 and 112,008

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Solution

The fourth proportional to 201,433.92, 277,979.04 and 112,008 is: 154,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,433.92 : 277,979.04 = 112,008 : x
  2. Step 2: Convert to fraction form
    201,433.92/277,979.04 = 112,008/x
  3. Step 3: Cross multiply
    201,433.92x = 277,979.04 × 112,008
  4. Step 4: Simplify right side
    201,433.92x = 31,135,876,312.32
  5. Step 5: Solve for x
    x = 31,135,876,312.32/201,433.92
  6. Step 6: Final answer
    x = 154,571.17

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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.