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Finding the Fourth Proportional to 151,245.60, 208,725.84 and 84,181.92

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Solution

The fourth proportional to 151,245.60, 208,725.84 and 84,181.92 is: 116,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,245.60 : 208,725.84 = 84,181.92 : x
  2. Step 2: Convert to fraction form
    151,245.60/208,725.84 = 84,181.92/x
  3. Step 3: Cross multiply
    151,245.60x = 208,725.84 × 84,181.92
  4. Step 4: Simplify right side
    151,245.60x = 17,570,941,964.81
  5. Step 5: Solve for x
    x = 17,570,941,964.81/151,245.60
  6. Step 6: Final answer
    x = 116,174.90

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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.