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Finding the Fourth Proportional to 80,492.80, 120,739.20 and 61,830.40

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Solution

The fourth proportional to 80,492.80, 120,739.20 and 61,830.40 is: 92,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.80 : 120,739.20 = 61,830.40 : x
  2. Step 2: Convert to fraction form
    80,492.80/120,739.20 = 61,830.40/x
  3. Step 3: Cross multiply
    80,492.80x = 120,739.20 × 61,830.40
  4. Step 4: Simplify right side
    80,492.80x = 7,465,353,031.68
  5. Step 5: Solve for x
    x = 7,465,353,031.68/80,492.80
  6. Step 6: Final answer
    x = 92,745.60

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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.