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Finding the Fourth Proportional to 87,567.75, 120,843.63 and 49,842

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Solution

The fourth proportional to 87,567.75, 120,843.63 and 49,842 is: 68,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,567.75 : 120,843.63 = 49,842 : x
  2. Step 2: Convert to fraction form
    87,567.75/120,843.63 = 49,842/x
  3. Step 3: Cross multiply
    87,567.75x = 120,843.63 × 49,842
  4. Step 4: Simplify right side
    87,567.75x = 6,023,088,206.46
  5. Step 5: Solve for x
    x = 6,023,088,206.46/87,567.75
  6. Step 6: Final answer
    x = 68,782.04

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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.