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Finding the Fourth Proportional to 103,188.78, 154,795.32 and 36,635.40

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Solution

The fourth proportional to 103,188.78, 154,795.32 and 36,635.40 is: 54,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,188.78 : 154,795.32 = 36,635.40 : x
  2. Step 2: Convert to fraction form
    103,188.78/154,795.32 = 36,635.40/x
  3. Step 3: Cross multiply
    103,188.78x = 154,795.32 × 36,635.40
  4. Step 4: Simplify right side
    103,188.78x = 5,670,988,466.33
  5. Step 5: Solve for x
    x = 5,670,988,466.33/103,188.78
  6. Step 6: Final answer
    x = 54,957.41

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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.