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Finding the Fourth Proportional to 190,016.16, 285,014.16 and 71,679.84

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Solution

The fourth proportional to 190,016.16, 285,014.16 and 71,679.84 is: 107,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,016.16 : 285,014.16 = 71,679.84 : x
  2. Step 2: Convert to fraction form
    190,016.16/285,014.16 = 71,679.84/x
  3. Step 3: Cross multiply
    190,016.16x = 285,014.16 × 71,679.84
  4. Step 4: Simplify right side
    190,016.16x = 20,429,769,386.53
  5. Step 5: Solve for x
    x = 20,429,769,386.53/190,016.16
  6. Step 6: Final answer
    x = 107,515.96

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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.