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Finding the Fourth Proportional to 144,751.32, 199,762.47 and 81,089.64

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Solution

The fourth proportional to 144,751.32, 199,762.47 and 81,089.64 is: 111,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,751.32 : 199,762.47 = 81,089.64 : x
  2. Step 2: Convert to fraction form
    144,751.32/199,762.47 = 81,089.64/x
  3. Step 3: Cross multiply
    144,751.32x = 199,762.47 × 81,089.64
  4. Step 4: Simplify right side
    144,751.32x = 16,198,666,777.81
  5. Step 5: Solve for x
    x = 16,198,666,777.81/144,751.32
  6. Step 6: Final answer
    x = 111,906.87

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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.