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Finding the Fourth Proportional to 129,504.44, 178,724.34 and 78,522.04

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Solution

The fourth proportional to 129,504.44, 178,724.34 and 78,522.04 is: 108,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,504.44 : 178,724.34 = 78,522.04 : x
  2. Step 2: Convert to fraction form
    129,504.44/178,724.34 = 78,522.04/x
  3. Step 3: Cross multiply
    129,504.44x = 178,724.34 × 78,522.04
  4. Step 4: Simplify right side
    129,504.44x = 14,033,799,774.45
  5. Step 5: Solve for x
    x = 14,033,799,774.45/129,504.44
  6. Step 6: Final answer
    x = 108,365.39

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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.