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Finding the Fourth Proportional to 133,511, 184,245.36 and 83,210

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Solution

The fourth proportional to 133,511, 184,245.36 and 83,210 is: 114,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,511 : 184,245.36 = 83,210 : x
  2. Step 2: Convert to fraction form
    133,511/184,245.36 = 83,210/x
  3. Step 3: Cross multiply
    133,511x = 184,245.36 × 83,210
  4. Step 4: Simplify right side
    133,511x = 15,331,056,405.60
  5. Step 5: Solve for x
    x = 15,331,056,405.60/133,511
  6. Step 6: Final answer
    x = 114,829.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.