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Finding the Fourth Proportional to 98,105, 147,158.92 and 27,984.36

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Solution

The fourth proportional to 98,105, 147,158.92 and 27,984.36 is: 41,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,105 : 147,158.92 = 27,984.36 : x
  2. Step 2: Convert to fraction form
    98,105/147,158.92 = 27,984.36/x
  3. Step 3: Cross multiply
    98,105x = 147,158.92 × 27,984.36
  4. Step 4: Simplify right side
    98,105x = 4,118,148,194.49
  5. Step 5: Solve for x
    x = 4,118,148,194.49/98,105
  6. Step 6: Final answer
    x = 41,976.95

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1.5x scale

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.