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Finding the Fourth Proportional to 171,315, 256,972.50 and 46,656

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Solution

The fourth proportional to 171,315, 256,972.50 and 46,656 is: 69,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,315 : 256,972.50 = 46,656 : x
  2. Step 2: Convert to fraction form
    171,315/256,972.50 = 46,656/x
  3. Step 3: Cross multiply
    171,315x = 256,972.50 × 46,656
  4. Step 4: Simplify right side
    171,315x = 11,989,308,960
  5. Step 5: Solve for x
    x = 11,989,308,960/171,315
  6. Step 6: Final answer
    x = 69,984

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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.