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Finding the Fourth Proportional to 171,814, 257,725.86 and 47,155

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Solution

The fourth proportional to 171,814, 257,725.86 and 47,155 is: 70,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,814 : 257,725.86 = 47,155 : x
  2. Step 2: Convert to fraction form
    171,814/257,725.86 = 47,155/x
  3. Step 3: Cross multiply
    171,814x = 257,725.86 × 47,155
  4. Step 4: Simplify right side
    171,814x = 12,153,062,928.30
  5. Step 5: Solve for x
    x = 12,153,062,928.30/171,814
  6. Step 6: Final answer
    x = 70,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.