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Finding the Fourth Proportional to 95,769, 143,653.50 and 30,105

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Solution

The fourth proportional to 95,769, 143,653.50 and 30,105 is: 45,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,769 : 143,653.50 = 30,105 : x
  2. Step 2: Convert to fraction form
    95,769/143,653.50 = 30,105/x
  3. Step 3: Cross multiply
    95,769x = 143,653.50 × 30,105
  4. Step 4: Simplify right side
    95,769x = 4,324,688,617.50
  5. Step 5: Solve for x
    x = 4,324,688,617.50/95,769
  6. Step 6: Final answer
    x = 45,157.50

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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.