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Finding the Fourth Proportional to 186,749.80, 280,081.98 and 53,629

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Solution

The fourth proportional to 186,749.80, 280,081.98 and 53,629 is: 80,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,749.80 : 280,081.98 = 53,629 : x
  2. Step 2: Convert to fraction form
    186,749.80/280,081.98 = 53,629/x
  3. Step 3: Cross multiply
    186,749.80x = 280,081.98 × 53,629
  4. Step 4: Simplify right side
    186,749.80x = 15,020,516,505.42
  5. Step 5: Solve for x
    x = 15,020,516,505.42/186,749.80
  6. Step 6: Final answer
    x = 80,431.23

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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.