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Finding the Fourth Proportional to 189,959.58, 285,007.68 and 88,847.82

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Solution

The fourth proportional to 189,959.58, 285,007.68 and 88,847.82 is: 133,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,959.58 : 285,007.68 = 88,847.82 : x
  2. Step 2: Convert to fraction form
    189,959.58/285,007.68 = 88,847.82/x
  3. Step 3: Cross multiply
    189,959.58x = 285,007.68 × 88,847.82
  4. Step 4: Simplify right side
    189,959.58x = 25,322,311,051.26
  5. Step 5: Solve for x
    x = 25,322,311,051.26/189,959.58
  6. Step 6: Final answer
    x = 133,303.68

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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.