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Finding the Fourth Proportional to 129,115.78, 193,079.12 and 122,817.22

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Solution

The fourth proportional to 129,115.78, 193,079.12 and 122,817.22 is: 183,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,115.78 : 193,079.12 = 122,817.22 : x
  2. Step 2: Convert to fraction form
    129,115.78/193,079.12 = 122,817.22/x
  3. Step 3: Cross multiply
    129,115.78x = 193,079.12 × 122,817.22
  4. Step 4: Simplify right side
    129,115.78x = 23,713,440,758.45
  5. Step 5: Solve for x
    x = 23,713,440,758.45/129,115.78
  6. Step 6: Final answer
    x = 183,660.28

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1.5x scale

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.