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Finding the Fourth Proportional to 280,111.20, 420,102.72 and 80,430

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Solution

The fourth proportional to 280,111.20, 420,102.72 and 80,430 is: 120,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,111.20 : 420,102.72 = 80,430 : x
  2. Step 2: Convert to fraction form
    280,111.20/420,102.72 = 80,430/x
  3. Step 3: Cross multiply
    280,111.20x = 420,102.72 × 80,430
  4. Step 4: Simplify right side
    280,111.20x = 33,788,861,769.60
  5. Step 5: Solve for x
    x = 33,788,861,769.60/280,111.20
  6. Step 6: Final answer
    x = 120,626.60

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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.