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Finding the Fourth Proportional to 144,493.19, 199,400.63 and 80,830.97

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Solution

The fourth proportional to 144,493.19, 199,400.63 and 80,830.97 is: 111,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,493.19 : 199,400.63 = 80,830.97 : x
  2. Step 2: Convert to fraction form
    144,493.19/199,400.63 = 80,830.97/x
  3. Step 3: Cross multiply
    144,493.19x = 199,400.63 × 80,830.97
  4. Step 4: Simplify right side
    144,493.19x = 16,117,746,341.51
  5. Step 5: Solve for x
    x = 16,117,746,341.51/144,493.19
  6. Step 6: Final answer
    x = 111,546.75

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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.