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Finding the Fourth Proportional to 129,504.67, 178,724.70 and 78,522.28

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Solution

The fourth proportional to 129,504.67, 178,724.70 and 78,522.28 is: 108,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,504.67 : 178,724.70 = 78,522.28 : x
  2. Step 2: Convert to fraction form
    129,504.67/178,724.70 = 78,522.28/x
  3. Step 3: Cross multiply
    129,504.67x = 178,724.70 × 78,522.28
  4. Step 4: Simplify right side
    129,504.67x = 14,033,870,936.32
  5. Step 5: Solve for x
    x = 14,033,870,936.32/129,504.67
  6. Step 6: Final answer
    x = 108,365.75

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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.