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Finding the Fourth Proportional to 280,132.48, 420,358.72 and 102,616

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Solution

The fourth proportional to 280,132.48, 420,358.72 and 102,616 is: 153,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,132.48 : 420,358.72 = 102,616 : x
  2. Step 2: Convert to fraction form
    280,132.48/420,358.72 = 102,616/x
  3. Step 3: Cross multiply
    280,132.48x = 420,358.72 × 102,616
  4. Step 4: Simplify right side
    280,132.48x = 43,135,530,411.52
  5. Step 5: Solve for x
    x = 43,135,530,411.52/280,132.48
  6. Step 6: Final answer
    x = 153,982.61

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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.