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Finding the Fourth Proportional to 144,039.66, 198,784.71 and 80,389.86

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Solution

The fourth proportional to 144,039.66, 198,784.71 and 80,389.86 is: 110,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,039.66 : 198,784.71 = 80,389.86 : x
  2. Step 2: Convert to fraction form
    144,039.66/198,784.71 = 80,389.86/x
  3. Step 3: Cross multiply
    144,039.66x = 198,784.71 × 80,389.86
  4. Step 4: Simplify right side
    144,039.66x = 15,980,275,007.04
  5. Step 5: Solve for x
    x = 15,980,275,007.04/144,039.66
  6. Step 6: Final answer
    x = 110,943.58

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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.