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Finding the Fourth Proportional to 243,185.32, 364,773.66 and 76,969

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Solution

The fourth proportional to 243,185.32, 364,773.66 and 76,969 is: 115,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,185.32 : 364,773.66 = 76,969 : x
  2. Step 2: Convert to fraction form
    243,185.32/364,773.66 = 76,969/x
  3. Step 3: Cross multiply
    243,185.32x = 364,773.66 × 76,969
  4. Step 4: Simplify right side
    243,185.32x = 28,076,263,836.54
  5. Step 5: Solve for x
    x = 28,076,263,836.54/243,185.32
  6. Step 6: Final answer
    x = 115,452.13

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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.