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Finding the Fourth Proportional to 156,474.75, 215,933.11 and 84,854.40

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Solution

The fourth proportional to 156,474.75, 215,933.11 and 84,854.40 is: 117,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,474.75 : 215,933.11 = 84,854.40 : x
  2. Step 2: Convert to fraction form
    156,474.75/215,933.11 = 84,854.40/x
  3. Step 3: Cross multiply
    156,474.75x = 215,933.11 × 84,854.40
  4. Step 4: Simplify right side
    156,474.75x = 18,322,874,489.18
  5. Step 5: Solve for x
    x = 18,322,874,489.18/156,474.75
  6. Step 6: Final answer
    x = 117,097.96

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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.