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Finding the Fourth Proportional to 176,228.81, 263,941.96 and 138,039.67

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Solution

The fourth proportional to 176,228.81, 263,941.96 and 138,039.67 is: 206,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,228.81 : 263,941.96 = 138,039.67 : x
  2. Step 2: Convert to fraction form
    176,228.81/263,941.96 = 138,039.67/x
  3. Step 3: Cross multiply
    176,228.81x = 263,941.96 × 138,039.67
  4. Step 4: Simplify right side
    176,228.81x = 36,434,461,057.55
  5. Step 5: Solve for x
    x = 36,434,461,057.55/176,228.81
  6. Step 6: Final answer
    x = 206,745.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.