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Finding the Fourth Proportional to 261,878.56, 392,042.79 and 161,716.70

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Solution

The fourth proportional to 261,878.56, 392,042.79 and 161,716.70 is: 242,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,878.56 : 392,042.79 = 161,716.70 : x
  2. Step 2: Convert to fraction form
    261,878.56/392,042.79 = 161,716.70/x
  3. Step 3: Cross multiply
    261,878.56x = 392,042.79 × 161,716.70
  4. Step 4: Simplify right side
    261,878.56x = 63,399,867,237.70
  5. Step 5: Solve for x
    x = 63,399,867,237.70/261,878.56
  6. Step 6: Final answer
    x = 242,096.44

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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.