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Finding the Fourth Proportional to 156,782.60, 216,360.83 and 85,163.21

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Solution

The fourth proportional to 156,782.60, 216,360.83 and 85,163.21 is: 117,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.60 : 216,360.83 = 85,163.21 : x
  2. Step 2: Convert to fraction form
    156,782.60/216,360.83 = 85,163.21/x
  3. Step 3: Cross multiply
    156,782.60x = 216,360.83 × 85,163.21
  4. Step 4: Simplify right side
    156,782.60x = 18,425,982,801.06
  5. Step 5: Solve for x
    x = 18,425,982,801.06/156,782.60
  6. Step 6: Final answer
    x = 117,525.69

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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.