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Finding the Fourth Proportional to 87,570.32, 120,847.95 and 49,847.00

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Solution

The fourth proportional to 87,570.32, 120,847.95 and 49,847.00 is: 68,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,570.32 : 120,847.95 = 49,847.00 : x
  2. Step 2: Convert to fraction form
    87,570.32/120,847.95 = 49,847.00/x
  3. Step 3: Cross multiply
    87,570.32x = 120,847.95 × 49,847.00
  4. Step 4: Simplify right side
    87,570.32x = 6,023,907,159.41
  5. Step 5: Solve for x
    x = 6,023,907,159.41/87,570.32
  6. Step 6: Final answer
    x = 68,789.37

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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.