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Finding the Fourth Proportional to 190,678, 286,092.32 and 72,380.74

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Solution

The fourth proportional to 190,678, 286,092.32 and 72,380.74 is: 108,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,678 : 286,092.32 = 72,380.74 : x
  2. Step 2: Convert to fraction form
    190,678/286,092.32 = 72,380.74/x
  3. Step 3: Cross multiply
    190,678x = 286,092.32 × 72,380.74
  4. Step 4: Simplify right side
    190,678x = 20,707,573,829.92
  5. Step 5: Solve for x
    x = 20,707,573,829.92/190,678
  6. Step 6: Final answer
    x = 108,599.70

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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.