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Finding the Fourth Proportional to 171,653, 257,479.86 and 73,157

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Solution

The fourth proportional to 171,653, 257,479.86 and 73,157 is: 109,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,653 : 257,479.86 = 73,157 : x
  2. Step 2: Convert to fraction form
    171,653/257,479.86 = 73,157/x
  3. Step 3: Cross multiply
    171,653x = 257,479.86 × 73,157
  4. Step 4: Simplify right side
    171,653x = 18,836,454,118.02
  5. Step 5: Solve for x
    x = 18,836,454,118.02/171,653
  6. Step 6: Final answer
    x = 109,735.65

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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.