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Finding the Fourth Proportional to 103,173.98, 154,834.47 and 47,021.54

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Solution

The fourth proportional to 103,173.98, 154,834.47 and 47,021.54 is: 70,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,173.98 : 154,834.47 = 47,021.54 : x
  2. Step 2: Convert to fraction form
    103,173.98/154,834.47 = 47,021.54/x
  3. Step 3: Cross multiply
    103,173.98x = 154,834.47 × 47,021.54
  4. Step 4: Simplify right side
    103,173.98x = 7,280,554,450.31
  5. Step 5: Solve for x
    x = 7,280,554,450.31/103,173.98
  6. Step 6: Final answer
    x = 70,565.80

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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.