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Finding the Fourth Proportional to 120,308.20, 180,462.30 and 82,983.40

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Solution

The fourth proportional to 120,308.20, 180,462.30 and 82,983.40 is: 124,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,308.20 : 180,462.30 = 82,983.40 : x
  2. Step 2: Convert to fraction form
    120,308.20/180,462.30 = 82,983.40/x
  3. Step 3: Cross multiply
    120,308.20x = 180,462.30 × 82,983.40
  4. Step 4: Simplify right side
    120,308.20x = 14,975,375,225.82
  5. Step 5: Solve for x
    x = 14,975,375,225.82/120,308.20
  6. Step 6: Final answer
    x = 124,475.10

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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.