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Finding the Fourth Proportional to 144,803.92, 199,840.62 and 81,147.64

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Solution

The fourth proportional to 144,803.92, 199,840.62 and 81,147.64 is: 111,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,803.92 : 199,840.62 = 81,147.64 : x
  2. Step 2: Convert to fraction form
    144,803.92/199,840.62 = 81,147.64/x
  3. Step 3: Cross multiply
    144,803.92x = 199,840.62 × 81,147.64
  4. Step 4: Simplify right side
    144,803.92x = 16,216,594,689.14
  5. Step 5: Solve for x
    x = 16,216,594,689.14/144,803.92
  6. Step 6: Final answer
    x = 111,990.03

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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.