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Finding the Fourth Proportional to 129,172.96, 178,195.44 and 78,784.48

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Solution

The fourth proportional to 129,172.96, 178,195.44 and 78,784.48 is: 108,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,172.96 : 178,195.44 = 78,784.48 : x
  2. Step 2: Convert to fraction form
    129,172.96/178,195.44 = 78,784.48/x
  3. Step 3: Cross multiply
    129,172.96x = 178,195.44 × 78,784.48
  4. Step 4: Simplify right side
    129,172.96x = 14,039,035,078.77
  5. Step 5: Solve for x
    x = 14,039,035,078.77/129,172.96
  6. Step 6: Final answer
    x = 108,684.01

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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.