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Finding the Fourth Proportional to 105,235.99, 158,098.20 and 99,571.66

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Solution

The fourth proportional to 105,235.99, 158,098.20 and 99,571.66 is: 149,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.99 : 158,098.20 = 99,571.66 : x
  2. Step 2: Convert to fraction form
    105,235.99/158,098.20 = 99,571.66/x
  3. Step 3: Cross multiply
    105,235.99x = 158,098.20 × 99,571.66
  4. Step 4: Simplify right side
    105,235.99x = 15,742,100,217.01
  5. Step 5: Solve for x
    x = 15,742,100,217.01/105,235.99
  6. Step 6: Final answer
    x = 149,588.56

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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.