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Finding the Fourth Proportional to 87,118.56, 120,205.30 and 56,948.30

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Solution

The fourth proportional to 87,118.56, 120,205.30 and 56,948.30 is: 78,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,118.56 : 120,205.30 = 56,948.30 : x
  2. Step 2: Convert to fraction form
    87,118.56/120,205.30 = 56,948.30/x
  3. Step 3: Cross multiply
    87,118.56x = 120,205.30 × 56,948.30
  4. Step 4: Simplify right side
    87,118.56x = 6,845,487,485.99
  5. Step 5: Solve for x
    x = 6,845,487,485.99/87,118.56
  6. Step 6: Final answer
    x = 78,576.68

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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.