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Finding the Fourth Proportional to 190,309.76, 285,464.64 and 79,424

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Solution

The fourth proportional to 190,309.76, 285,464.64 and 79,424 is: 119,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,309.76 : 285,464.64 = 79,424 : x
  2. Step 2: Convert to fraction form
    190,309.76/285,464.64 = 79,424/x
  3. Step 3: Cross multiply
    190,309.76x = 285,464.64 × 79,424
  4. Step 4: Simplify right side
    190,309.76x = 22,672,743,567.36
  5. Step 5: Solve for x
    x = 22,672,743,567.36/190,309.76
  6. Step 6: Final answer
    x = 119,136

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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.