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Finding the Fourth Proportional to 129,280, 178,408.56 and 84,568

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Solution

The fourth proportional to 129,280, 178,408.56 and 84,568 is: 116,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,280 : 178,408.56 = 84,568 : x
  2. Step 2: Convert to fraction form
    129,280/178,408.56 = 84,568/x
  3. Step 3: Cross multiply
    129,280x = 178,408.56 × 84,568
  4. Step 4: Simplify right side
    129,280x = 15,087,655,102.08
  5. Step 5: Solve for x
    x = 15,087,655,102.08/129,280
  6. Step 6: Final answer
    x = 116,705.25

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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.