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Finding the Fourth Proportional to 228,289.21, 315,165.80 and 137,668.13

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Solution

The fourth proportional to 228,289.21, 315,165.80 and 137,668.13 is: 190,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,289.21 : 315,165.80 = 137,668.13 : x
  2. Step 2: Convert to fraction form
    228,289.21/315,165.80 = 137,668.13/x
  3. Step 3: Cross multiply
    228,289.21x = 315,165.80 × 137,668.13
  4. Step 4: Simplify right side
    228,289.21x = 43,388,287,458.04
  5. Step 5: Solve for x
    x = 43,388,287,458.04/228,289.21
  6. Step 6: Final answer
    x = 190,058.43

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1.5x scale

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.