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Finding the Fourth Proportional to 140,913.24, 194,461.86 and 80,491.86

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Solution

The fourth proportional to 140,913.24, 194,461.86 and 80,491.86 is: 111,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,913.24 : 194,461.86 = 80,491.86 : x
  2. Step 2: Convert to fraction form
    140,913.24/194,461.86 = 80,491.86/x
  3. Step 3: Cross multiply
    140,913.24x = 194,461.86 × 80,491.86
  4. Step 4: Simplify right side
    140,913.24x = 15,652,596,810.46
  5. Step 5: Solve for x
    x = 15,652,596,810.46/140,913.24
  6. Step 6: Final answer
    x = 111,079.67

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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.