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Finding the Fourth Proportional to 189,907.85, 285,001.73 and 90,068.33

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Solution

The fourth proportional to 189,907.85, 285,001.73 and 90,068.33 is: 135,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,907.85 : 285,001.73 = 90,068.33 : x
  2. Step 2: Convert to fraction form
    189,907.85/285,001.73 = 90,068.33/x
  3. Step 3: Cross multiply
    189,907.85x = 285,001.73 × 90,068.33
  4. Step 4: Simplify right side
    189,907.85x = 25,669,627,992.86
  5. Step 5: Solve for x
    x = 25,669,627,992.86/189,907.85
  6. Step 6: Final answer
    x = 135,168.87

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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.