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Finding the Fourth Proportional to 51,774.76, 77,685.18 and 27,145

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Solution

The fourth proportional to 51,774.76, 77,685.18 and 27,145 is: 40,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.76 : 77,685.18 = 27,145 : x
  2. Step 2: Convert to fraction form
    51,774.76/77,685.18 = 27,145/x
  3. Step 3: Cross multiply
    51,774.76x = 77,685.18 × 27,145
  4. Step 4: Simplify right side
    51,774.76x = 2,108,764,211.10
  5. Step 5: Solve for x
    x = 2,108,764,211.10/51,774.76
  6. Step 6: Final answer
    x = 40,729.58

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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.