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Finding the Fourth Proportional to 104,162, 143,744.12 and 56,415.48

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Solution

The fourth proportional to 104,162, 143,744.12 and 56,415.48 is: 77,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,162 : 143,744.12 = 56,415.48 : x
  2. Step 2: Convert to fraction form
    104,162/143,744.12 = 56,415.48/x
  3. Step 3: Cross multiply
    104,162x = 143,744.12 × 56,415.48
  4. Step 4: Simplify right side
    104,162x = 8,109,393,526.98
  5. Step 5: Solve for x
    x = 8,109,393,526.98/104,162
  6. Step 6: Final answer
    x = 77,853.67

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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.