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Finding the Fourth Proportional to 186,994.64, 258,074.72 and 105,325.56

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Solution

The fourth proportional to 186,994.64, 258,074.72 and 105,325.56 is: 145,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,994.64 : 258,074.72 = 105,325.56 : x
  2. Step 2: Convert to fraction form
    186,994.64/258,074.72 = 105,325.56/x
  3. Step 3: Cross multiply
    186,994.64x = 258,074.72 × 105,325.56
  4. Step 4: Simplify right side
    186,994.64x = 27,181,864,405.84
  5. Step 5: Solve for x
    x = 27,181,864,405.84/186,994.64
  6. Step 6: Final answer
    x = 145,361.73

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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.