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Finding the Fourth Proportional to 144,465.80, 199,418.10 and 87,873.80

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Solution

The fourth proportional to 144,465.80, 199,418.10 and 87,873.80 is: 121,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,465.80 : 199,418.10 = 87,873.80 : x
  2. Step 2: Convert to fraction form
    144,465.80/199,418.10 = 87,873.80/x
  3. Step 3: Cross multiply
    144,465.80x = 199,418.10 × 87,873.80
  4. Step 4: Simplify right side
    144,465.80x = 17,523,626,235.78
  5. Step 5: Solve for x
    x = 17,523,626,235.78/144,465.80
  6. Step 6: Final answer
    x = 121,299.48

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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.