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Finding the Fourth Proportional to 228,963.65, 315,988.70 and 127,021.92

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Solution

The fourth proportional to 228,963.65, 315,988.70 and 127,021.92 is: 175,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963.65 : 315,988.70 = 127,021.92 : x
  2. Step 2: Convert to fraction form
    228,963.65/315,988.70 = 127,021.92/x
  3. Step 3: Cross multiply
    228,963.65x = 315,988.70 × 127,021.92
  4. Step 4: Simplify right side
    228,963.65x = 40,137,489,792.36
  5. Step 5: Solve for x
    x = 40,137,489,792.36/228,963.65
  6. Step 6: Final answer
    x = 175,300.71

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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.