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Finding the Fourth Proportional to 109,709.21, 151,401.69 and 61,969.65

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Solution

The fourth proportional to 109,709.21, 151,401.69 and 61,969.65 is: 85,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,709.21 : 151,401.69 = 61,969.65 : x
  2. Step 2: Convert to fraction form
    109,709.21/151,401.69 = 61,969.65/x
  3. Step 3: Cross multiply
    109,709.21x = 151,401.69 × 61,969.65
  4. Step 4: Simplify right side
    109,709.21x = 9,382,309,738.71
  5. Step 5: Solve for x
    x = 9,382,309,738.71/109,709.21
  6. Step 6: Final answer
    x = 85,519.80

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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.