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Finding the Fourth Proportional to 84,168.96, 116,101.44 and 50,154

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Solution

The fourth proportional to 84,168.96, 116,101.44 and 50,154 is: 69,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168.96 : 116,101.44 = 50,154 : x
  2. Step 2: Convert to fraction form
    84,168.96/116,101.44 = 50,154/x
  3. Step 3: Cross multiply
    84,168.96x = 116,101.44 × 50,154
  4. Step 4: Simplify right side
    84,168.96x = 5,822,951,621.76
  5. Step 5: Solve for x
    x = 5,822,951,621.76/84,168.96
  6. Step 6: Final answer
    x = 69,181.70

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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.