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Finding the Fourth Proportional to 228,774.42, 315,632.97 and 138,096

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Solution

The fourth proportional to 228,774.42, 315,632.97 and 138,096 is: 190,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,774.42 : 315,632.97 = 138,096 : x
  2. Step 2: Convert to fraction form
    228,774.42/315,632.97 = 138,096/x
  3. Step 3: Cross multiply
    228,774.42x = 315,632.97 × 138,096
  4. Step 4: Simplify right side
    228,774.42x = 43,587,650,625.12
  5. Step 5: Solve for x
    x = 43,587,650,625.12/228,774.42
  6. Step 6: Final answer
    x = 190,526.77

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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.