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Finding the Fourth Proportional to 98,739.40, 148,109.10 and 82,409.80

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Solution

The fourth proportional to 98,739.40, 148,109.10 and 82,409.80 is: 123,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,739.40 : 148,109.10 = 82,409.80 : x
  2. Step 2: Convert to fraction form
    98,739.40/148,109.10 = 82,409.80/x
  3. Step 3: Cross multiply
    98,739.40x = 148,109.10 × 82,409.80
  4. Step 4: Simplify right side
    98,739.40x = 12,205,641,309.18
  5. Step 5: Solve for x
    x = 12,205,641,309.18/98,739.40
  6. Step 6: Final answer
    x = 123,614.70

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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.