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Finding the Fourth Proportional to 122,138.48, 168,519.64 and 71,828.08

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Solution

The fourth proportional to 122,138.48, 168,519.64 and 71,828.08 is: 99,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138.48 : 168,519.64 = 71,828.08 : x
  2. Step 2: Convert to fraction form
    122,138.48/168,519.64 = 71,828.08/x
  3. Step 3: Cross multiply
    122,138.48x = 168,519.64 × 71,828.08
  4. Step 4: Simplify right side
    122,138.48x = 12,104,442,183.49
  5. Step 5: Solve for x
    x = 12,104,442,183.49/122,138.48
  6. Step 6: Final answer
    x = 99,104.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.