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Finding the Fourth Proportional to 228,776.42, 315,635.73 and 138,098

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Solution

The fourth proportional to 228,776.42, 315,635.73 and 138,098 is: 190,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,776.42 : 315,635.73 = 138,098 : x
  2. Step 2: Convert to fraction form
    228,776.42/315,635.73 = 138,098/x
  3. Step 3: Cross multiply
    228,776.42x = 315,635.73 × 138,098
  4. Step 4: Simplify right side
    228,776.42x = 43,588,663,041.54
  5. Step 5: Solve for x
    x = 43,588,663,041.54/228,776.42
  6. Step 6: Final answer
    x = 190,529.53

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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.