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Finding the Fourth Proportional to 171,268.12, 256,904.10 and 76,503.16

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Solution

The fourth proportional to 171,268.12, 256,904.10 and 76,503.16 is: 114,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,268.12 : 256,904.10 = 76,503.16 : x
  2. Step 2: Convert to fraction form
    171,268.12/256,904.10 = 76,503.16/x
  3. Step 3: Cross multiply
    171,268.12x = 256,904.10 × 76,503.16
  4. Step 4: Simplify right side
    171,268.12x = 19,653,975,466.96
  5. Step 5: Solve for x
    x = 19,653,975,466.96/171,268.12
  6. Step 6: Final answer
    x = 114,755.60

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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.