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Finding the Fourth Proportional to 186,989.96, 280,277.18 and 142,469.94

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Solution

The fourth proportional to 186,989.96, 280,277.18 and 142,469.94 is: 213,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,989.96 : 280,277.18 = 142,469.94 : x
  2. Step 2: Convert to fraction form
    186,989.96/280,277.18 = 142,469.94/x
  3. Step 3: Cross multiply
    186,989.96x = 280,277.18 × 142,469.94
  4. Step 4: Simplify right side
    186,989.96x = 39,931,073,017.97
  5. Step 5: Solve for x
    x = 39,931,073,017.97/186,989.96
  6. Step 6: Final answer
    x = 213,546.62

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1.5x scale

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.