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Finding the Fourth Proportional to 156,394.72, 215,824.86 and 84,774.68

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Solution

The fourth proportional to 156,394.72, 215,824.86 and 84,774.68 is: 116,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,394.72 : 215,824.86 = 84,774.68 : x
  2. Step 2: Convert to fraction form
    156,394.72/215,824.86 = 84,774.68/x
  3. Step 3: Cross multiply
    156,394.72x = 215,824.86 × 84,774.68
  4. Step 4: Simplify right side
    156,394.72x = 18,296,483,442.54
  5. Step 5: Solve for x
    x = 18,296,483,442.54/156,394.72
  6. Step 6: Final answer
    x = 116,989.14

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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.