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Finding the Fourth Proportional to 189,015.08, 283,361.70 and 83,776.64

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Solution

The fourth proportional to 189,015.08, 283,361.70 and 83,776.64 is: 125,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,015.08 : 283,361.70 = 83,776.64 : x
  2. Step 2: Convert to fraction form
    189,015.08/283,361.70 = 83,776.64/x
  3. Step 3: Cross multiply
    189,015.08x = 283,361.70 × 83,776.64
  4. Step 4: Simplify right side
    189,015.08x = 23,739,091,130.69
  5. Step 5: Solve for x
    x = 23,739,091,130.69/189,015.08
  6. Step 6: Final answer
    x = 125,593.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.