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Finding the Fourth Proportional to 190,324.04, 285,527.82 and 78,005

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Solution

The fourth proportional to 190,324.04, 285,527.82 and 78,005 is: 117,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,324.04 : 285,527.82 = 78,005 : x
  2. Step 2: Convert to fraction form
    190,324.04/285,527.82 = 78,005/x
  3. Step 3: Cross multiply
    190,324.04x = 285,527.82 × 78,005
  4. Step 4: Simplify right side
    190,324.04x = 22,272,597,599.10
  5. Step 5: Solve for x
    x = 22,272,597,599.10/190,324.04
  6. Step 6: Final answer
    x = 117,024.62

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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.