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Finding the Fourth Proportional to 228,289.94, 315,023.01 and 127,668.50

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Solution

The fourth proportional to 228,289.94, 315,023.01 and 127,668.50 is: 176,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,289.94 : 315,023.01 = 127,668.50 : x
  2. Step 2: Convert to fraction form
    228,289.94/315,023.01 = 127,668.50/x
  3. Step 3: Cross multiply
    228,289.94x = 315,023.01 × 127,668.50
  4. Step 4: Simplify right side
    228,289.94x = 40,218,515,152.19
  5. Step 5: Solve for x
    x = 40,218,515,152.19/228,289.94
  6. Step 6: Final answer
    x = 176,172.96

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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.