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Finding the Fourth Proportional to 122,242, 183,393.72 and 34,690

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Solution

The fourth proportional to 122,242, 183,393.72 and 34,690 is: 52,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,242 : 183,393.72 = 34,690 : x
  2. Step 2: Convert to fraction form
    122,242/183,393.72 = 34,690/x
  3. Step 3: Cross multiply
    122,242x = 183,393.72 × 34,690
  4. Step 4: Simplify right side
    122,242x = 6,361,928,146.80
  5. Step 5: Solve for x
    x = 6,361,928,146.80/122,242
  6. Step 6: Final answer
    x = 52,043.72

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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.