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Finding the Fourth Proportional to 189,129.84, 283,759.56 and 64,558.32

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Solution

The fourth proportional to 189,129.84, 283,759.56 and 64,558.32 is: 96,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,129.84 : 283,759.56 = 64,558.32 : x
  2. Step 2: Convert to fraction form
    189,129.84/283,759.56 = 64,558.32/x
  3. Step 3: Cross multiply
    189,129.84x = 283,759.56 × 64,558.32
  4. Step 4: Simplify right side
    189,129.84x = 18,319,040,477.54
  5. Step 5: Solve for x
    x = 18,319,040,477.54/189,129.84
  6. Step 6: Final answer
    x = 96,859.60

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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.