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Finding the Fourth Proportional to 120,180, 180,056.16 and 102,470.16

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Solution

The fourth proportional to 120,180, 180,056.16 and 102,470.16 is: 153,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,180 : 180,056.16 = 102,470.16 : x
  2. Step 2: Convert to fraction form
    120,180/180,056.16 = 102,470.16/x
  3. Step 3: Cross multiply
    120,180x = 180,056.16 × 102,470.16
  4. Step 4: Simplify right side
    120,180x = 18,450,383,524.19
  5. Step 5: Solve for x
    x = 18,450,383,524.19/120,180
  6. Step 6: Final answer
    x = 153,522.91

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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.