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Finding the Fourth Proportional to 119,000.52, 164,212.38 and 65,284.38

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Solution

The fourth proportional to 119,000.52, 164,212.38 and 65,284.38 is: 90,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000.52 : 164,212.38 = 65,284.38 : x
  2. Step 2: Convert to fraction form
    119,000.52/164,212.38 = 65,284.38/x
  3. Step 3: Cross multiply
    119,000.52x = 164,212.38 × 65,284.38
  4. Step 4: Simplify right side
    119,000.52x = 10,720,503,416.62
  5. Step 5: Solve for x
    x = 10,720,503,416.62/119,000.52
  6. Step 6: Final answer
    x = 90,087.87

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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.