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Finding the Fourth Proportional to 87,305.76, 120,485.60 and 49,580

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Solution

The fourth proportional to 87,305.76, 120,485.60 and 49,580 is: 68,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,305.76 : 120,485.60 = 49,580 : x
  2. Step 2: Convert to fraction form
    87,305.76/120,485.60 = 49,580/x
  3. Step 3: Cross multiply
    87,305.76x = 120,485.60 × 49,580
  4. Step 4: Simplify right side
    87,305.76x = 5,973,676,048
  5. Step 5: Solve for x
    x = 5,973,676,048/87,305.76
  6. Step 6: Final answer
    x = 68,422.47

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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.