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Finding the Fourth Proportional to 144,683.60, 199,666 and 81,022.48

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Solution

The fourth proportional to 144,683.60, 199,666 and 81,022.48 is: 111,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,683.60 : 199,666 = 81,022.48 : x
  2. Step 2: Convert to fraction form
    144,683.60/199,666 = 81,022.48/x
  3. Step 3: Cross multiply
    144,683.60x = 199,666 × 81,022.48
  4. Step 4: Simplify right side
    144,683.60x = 16,177,434,491.68
  5. Step 5: Solve for x
    x = 16,177,434,491.68/144,683.60
  6. Step 6: Final answer
    x = 111,812.50

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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.