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Finding the Fourth Proportional to 151,236, 208,705.68 and 84,183.84

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Solution

The fourth proportional to 151,236, 208,705.68 and 84,183.84 is: 116,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,236 : 208,705.68 = 84,183.84 : x
  2. Step 2: Convert to fraction form
    151,236/208,705.68 = 84,183.84/x
  3. Step 3: Cross multiply
    151,236x = 208,705.68 × 84,183.84
  4. Step 4: Simplify right side
    151,236x = 17,569,645,572.21
  5. Step 5: Solve for x
    x = 17,569,645,572.21/151,236
  6. Step 6: Final answer
    x = 116,173.70

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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.