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Finding the Fourth Proportional to 80,830.40, 121,216.80 and 28,241.60

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Solution

The fourth proportional to 80,830.40, 121,216.80 and 28,241.60 is: 42,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,830.40 : 121,216.80 = 28,241.60 : x
  2. Step 2: Convert to fraction form
    80,830.40/121,216.80 = 28,241.60/x
  3. Step 3: Cross multiply
    80,830.40x = 121,216.80 × 28,241.60
  4. Step 4: Simplify right side
    80,830.40x = 3,423,356,378.88
  5. Step 5: Solve for x
    x = 3,423,356,378.88/80,830.40
  6. Step 6: Final answer
    x = 42,352.34

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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.