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Finding the Fourth Proportional to 122,415.20, 183,622.80 and 72,648.80

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Solution

The fourth proportional to 122,415.20, 183,622.80 and 72,648.80 is: 108,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415.20 : 183,622.80 = 72,648.80 : x
  2. Step 2: Convert to fraction form
    122,415.20/183,622.80 = 72,648.80/x
  3. Step 3: Cross multiply
    122,415.20x = 183,622.80 × 72,648.80
  4. Step 4: Simplify right side
    122,415.20x = 13,339,976,072.64
  5. Step 5: Solve for x
    x = 13,339,976,072.64/122,415.20
  6. Step 6: Final answer
    x = 108,973.20

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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.