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Finding the Fourth Proportional to 98,107, 147,161.92 and 27,986.36

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Solution

The fourth proportional to 98,107, 147,161.92 and 27,986.36 is: 41,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107 : 147,161.92 = 27,986.36 : x
  2. Step 2: Convert to fraction form
    98,107/147,161.92 = 27,986.36/x
  3. Step 3: Cross multiply
    98,107x = 147,161.92 × 27,986.36
  4. Step 4: Simplify right side
    98,107x = 4,118,526,471.41
  5. Step 5: Solve for x
    x = 4,118,526,471.41/98,107
  6. Step 6: Final answer
    x = 41,979.95

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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.