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Finding the Fourth Proportional to 156,358.22, 215,773.80 and 84,740

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Solution

The fourth proportional to 156,358.22, 215,773.80 and 84,740 is: 116,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,358.22 : 215,773.80 = 84,740 : x
  2. Step 2: Convert to fraction form
    156,358.22/215,773.80 = 84,740/x
  3. Step 3: Cross multiply
    156,358.22x = 215,773.80 × 84,740
  4. Step 4: Simplify right side
    156,358.22x = 18,284,671,812
  5. Step 5: Solve for x
    x = 18,284,671,812/156,358.22
  6. Step 6: Final answer
    x = 116,940.91

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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.