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Finding the Fourth Proportional to 144,496.69, 199,400.80 and 80,833.12

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Solution

The fourth proportional to 144,496.69, 199,400.80 and 80,833.12 is: 111,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,496.69 : 199,400.80 = 80,833.12 : x
  2. Step 2: Convert to fraction form
    144,496.69/199,400.80 = 80,833.12/x
  3. Step 3: Cross multiply
    144,496.69x = 199,400.80 × 80,833.12
  4. Step 4: Simplify right side
    144,496.69x = 16,118,187,393.33
  5. Step 5: Solve for x
    x = 16,118,187,393.33/144,496.69
  6. Step 6: Final answer
    x = 111,547.11

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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.