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Finding the Fourth Proportional to 276,084.12, 414,135.45 and 76,387.80

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Solution

The fourth proportional to 276,084.12, 414,135.45 and 76,387.80 is: 114,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,084.12 : 414,135.45 = 76,387.80 : x
  2. Step 2: Convert to fraction form
    276,084.12/414,135.45 = 76,387.80/x
  3. Step 3: Cross multiply
    276,084.12x = 414,135.45 × 76,387.80
  4. Step 4: Simplify right side
    276,084.12x = 31,634,895,927.51
  5. Step 5: Solve for x
    x = 31,634,895,927.51/276,084.12
  6. Step 6: Final answer
    x = 114,584.26

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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.