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Finding the Fourth Proportional to 122,238.80, 183,649.80 and 109,408.40

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Solution

The fourth proportional to 122,238.80, 183,649.80 and 109,408.40 is: 164,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,238.80 : 183,649.80 = 109,408.40 : x
  2. Step 2: Convert to fraction form
    122,238.80/183,649.80 = 109,408.40/x
  3. Step 3: Cross multiply
    122,238.80x = 183,649.80 × 109,408.40
  4. Step 4: Simplify right side
    122,238.80x = 20,092,830,778.32
  5. Step 5: Solve for x
    x = 20,092,830,778.32/122,238.80
  6. Step 6: Final answer
    x = 164,373.59

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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.