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Finding the Fourth Proportional to 156,513.96, 215,987.68 and 84,892.44

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Solution

The fourth proportional to 156,513.96, 215,987.68 and 84,892.44 is: 117,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,513.96 : 215,987.68 = 84,892.44 : x
  2. Step 2: Convert to fraction form
    156,513.96/215,987.68 = 84,892.44/x
  3. Step 3: Cross multiply
    156,513.96x = 215,987.68 × 84,892.44
  4. Step 4: Simplify right side
    156,513.96x = 18,335,721,165.14
  5. Step 5: Solve for x
    x = 18,335,721,165.14/156,513.96
  6. Step 6: Final answer
    x = 117,150.71

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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.