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Finding the Fourth Proportional to 144,796.92, 199,830.96 and 81,140.64

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Solution

The fourth proportional to 144,796.92, 199,830.96 and 81,140.64 is: 111,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,796.92 : 199,830.96 = 81,140.64 : x
  2. Step 2: Convert to fraction form
    144,796.92/199,830.96 = 81,140.64/x
  3. Step 3: Cross multiply
    144,796.92x = 199,830.96 × 81,140.64
  4. Step 4: Simplify right side
    144,796.92x = 16,214,411,986.21
  5. Step 5: Solve for x
    x = 16,214,411,986.21/144,796.92
  6. Step 6: Final answer
    x = 111,980.37

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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.