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Finding the Fourth Proportional to 102,485.30, 153,786.26 and 81,840.02

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Solution

The fourth proportional to 102,485.30, 153,786.26 and 81,840.02 is: 122,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.30 : 153,786.26 = 81,840.02 : x
  2. Step 2: Convert to fraction form
    102,485.30/153,786.26 = 81,840.02/x
  3. Step 3: Cross multiply
    102,485.30x = 153,786.26 × 81,840.02
  4. Step 4: Simplify right side
    102,485.30x = 12,585,870,029.79
  5. Step 5: Solve for x
    x = 12,585,870,029.79/102,485.30
  6. Step 6: Final answer
    x = 122,806.59

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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.