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Finding the Fourth Proportional to 228,954.71, 315,976.41 and 127,013.06

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Solution

The fourth proportional to 228,954.71, 315,976.41 and 127,013.06 is: 175,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954.71 : 315,976.41 = 127,013.06 : x
  2. Step 2: Convert to fraction form
    228,954.71/315,976.41 = 127,013.06/x
  3. Step 3: Cross multiply
    228,954.71x = 315,976.41 × 127,013.06
  4. Step 4: Simplify right side
    228,954.71x = 40,133,129,142.03
  5. Step 5: Solve for x
    x = 40,133,129,142.03/228,954.71
  6. Step 6: Final answer
    x = 175,288.51

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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.