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Finding the Fourth Proportional to 186,742.80, 280,071.48 and 53,622

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Solution

The fourth proportional to 186,742.80, 280,071.48 and 53,622 is: 80,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,742.80 : 280,071.48 = 53,622 : x
  2. Step 2: Convert to fraction form
    186,742.80/280,071.48 = 53,622/x
  3. Step 3: Cross multiply
    186,742.80x = 280,071.48 × 53,622
  4. Step 4: Simplify right side
    186,742.80x = 15,017,992,900.56
  5. Step 5: Solve for x
    x = 15,017,992,900.56/186,742.80
  6. Step 6: Final answer
    x = 80,420.73

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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.