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Finding the Fourth Proportional to 243,076.56, 364,673.64 and 91,275

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Solution

The fourth proportional to 243,076.56, 364,673.64 and 91,275 is: 136,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,076.56 : 364,673.64 = 91,275 : x
  2. Step 2: Convert to fraction form
    243,076.56/364,673.64 = 91,275/x
  3. Step 3: Cross multiply
    243,076.56x = 364,673.64 × 91,275
  4. Step 4: Simplify right side
    243,076.56x = 33,285,586,491
  5. Step 5: Solve for x
    x = 33,285,586,491/243,076.56
  6. Step 6: Final answer
    x = 136,934.58

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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.