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Finding the Fourth Proportional to 144,411.69, 199,348.80 and 87,842.73

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Solution

The fourth proportional to 144,411.69, 199,348.80 and 87,842.73 is: 121,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,411.69 : 199,348.80 = 87,842.73 : x
  2. Step 2: Convert to fraction form
    144,411.69/199,348.80 = 87,842.73/x
  3. Step 3: Cross multiply
    144,411.69x = 199,348.80 × 87,842.73
  4. Step 4: Simplify right side
    144,411.69x = 17,511,342,814.22
  5. Step 5: Solve for x
    x = 17,511,342,814.22/144,411.69
  6. Step 6: Final answer
    x = 121,259.87

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1.5x scale

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.