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Finding the Fourth Proportional to 190,693.07, 285,928.84 and 72,299.82

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Solution

The fourth proportional to 190,693.07, 285,928.84 and 72,299.82 is: 108,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,693.07 : 285,928.84 = 72,299.82 : x
  2. Step 2: Convert to fraction form
    190,693.07/285,928.84 = 72,299.82/x
  3. Step 3: Cross multiply
    190,693.07x = 285,928.84 × 72,299.82
  4. Step 4: Simplify right side
    190,693.07x = 20,672,603,303.31
  5. Step 5: Solve for x
    x = 20,672,603,303.31/190,693.07
  6. Step 6: Final answer
    x = 108,407.74

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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.