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Finding the Fourth Proportional to 190,449.90, 285,710.96 and 76,606.42

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Solution

The fourth proportional to 190,449.90, 285,710.96 and 76,606.42 is: 114,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,449.90 : 285,710.96 = 76,606.42 : x
  2. Step 2: Convert to fraction form
    190,449.90/285,710.96 = 76,606.42/x
  3. Step 3: Cross multiply
    190,449.90x = 285,710.96 × 76,606.42
  4. Step 4: Simplify right side
    190,449.90x = 21,887,293,800.36
  5. Step 5: Solve for x
    x = 21,887,293,800.36/190,449.90
  6. Step 6: Final answer
    x = 114,924.15

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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.