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Finding the Fourth Proportional to 171,317, 256,975.50 and 46,658

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Solution

The fourth proportional to 171,317, 256,975.50 and 46,658 is: 69,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,317 : 256,975.50 = 46,658 : x
  2. Step 2: Convert to fraction form
    171,317/256,975.50 = 46,658/x
  3. Step 3: Cross multiply
    171,317x = 256,975.50 × 46,658
  4. Step 4: Simplify right side
    171,317x = 11,989,962,879
  5. Step 5: Solve for x
    x = 11,989,962,879/171,317
  6. Step 6: Final answer
    x = 69,987

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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.