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Finding the Fourth Proportional to 103,806.55, 155,709.73 and 80,148.50

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Solution

The fourth proportional to 103,806.55, 155,709.73 and 80,148.50 is: 120,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.55 : 155,709.73 = 80,148.50 : x
  2. Step 2: Convert to fraction form
    103,806.55/155,709.73 = 80,148.50/x
  3. Step 3: Cross multiply
    103,806.55x = 155,709.73 × 80,148.50
  4. Step 4: Simplify right side
    103,806.55x = 12,479,901,294.91
  5. Step 5: Solve for x
    x = 12,479,901,294.91/103,806.55
  6. Step 6: Final answer
    x = 120,222.68

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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.