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Finding the Fourth Proportional to 103,438.41, 155,169.76 and 36,888

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Solution

The fourth proportional to 103,438.41, 155,169.76 and 36,888 is: 55,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.41 : 155,169.76 = 36,888 : x
  2. Step 2: Convert to fraction form
    103,438.41/155,169.76 = 36,888/x
  3. Step 3: Cross multiply
    103,438.41x = 155,169.76 × 36,888
  4. Step 4: Simplify right side
    103,438.41x = 5,723,902,106.88
  5. Step 5: Solve for x
    x = 5,723,902,106.88/103,438.41
  6. Step 6: Final answer
    x = 55,336.33

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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.