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Finding the Fourth Proportional to 122,691.82, 183,742.34 and 83,128.98

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Solution

The fourth proportional to 122,691.82, 183,742.34 and 83,128.98 is: 124,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,691.82 : 183,742.34 = 83,128.98 : x
  2. Step 2: Convert to fraction form
    122,691.82/183,742.34 = 83,128.98/x
  3. Step 3: Cross multiply
    122,691.82x = 183,742.34 × 83,128.98
  4. Step 4: Simplify right side
    122,691.82x = 15,274,313,307.01
  5. Step 5: Solve for x
    x = 15,274,313,307.01/122,691.82
  6. Step 6: Final answer
    x = 124,493.33

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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.