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Finding the Fourth Proportional to 122,397, 183,469.20 and 51,360.84

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Solution

The fourth proportional to 122,397, 183,469.20 and 51,360.84 is: 76,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,397 : 183,469.20 = 51,360.84 : x
  2. Step 2: Convert to fraction form
    122,397/183,469.20 = 51,360.84/x
  3. Step 3: Cross multiply
    122,397x = 183,469.20 × 51,360.84
  4. Step 4: Simplify right side
    122,397x = 9,423,132,226.13
  5. Step 5: Solve for x
    x = 9,423,132,226.13/122,397
  6. Step 6: Final answer
    x = 76,988.26

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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.