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Finding the Fourth Proportional to 186,993.96, 280,283.16 and 142,473.94

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Solution

The fourth proportional to 186,993.96, 280,283.16 and 142,473.94 is: 213,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,993.96 : 280,283.16 = 142,473.94 : x
  2. Step 2: Convert to fraction form
    186,993.96/280,283.16 = 142,473.94/x
  3. Step 3: Cross multiply
    186,993.96x = 280,283.16 × 142,473.94
  4. Step 4: Simplify right side
    186,993.96x = 39,933,046,120.85
  5. Step 5: Solve for x
    x = 39,933,046,120.85/186,993.96
  6. Step 6: Final answer
    x = 213,552.60

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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.