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Finding the Fourth Proportional to 186,658.10, 280,023.60 and 74,319.20

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Solution

The fourth proportional to 186,658.10, 280,023.60 and 74,319.20 is: 111,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,658.10 : 280,023.60 = 74,319.20 : x
  2. Step 2: Convert to fraction form
    186,658.10/280,023.60 = 74,319.20/x
  3. Step 3: Cross multiply
    186,658.10x = 280,023.60 × 74,319.20
  4. Step 4: Simplify right side
    186,658.10x = 20,811,129,933.12
  5. Step 5: Solve for x
    x = 20,811,129,933.12/186,658.10
  6. Step 6: Final answer
    x = 111,493.31

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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.