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Finding the Fourth Proportional to 51,618.84, 77,431.86 and 20,454

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Solution

The fourth proportional to 51,618.84, 77,431.86 and 20,454 is: 30,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,618.84 : 77,431.86 = 20,454 : x
  2. Step 2: Convert to fraction form
    51,618.84/77,431.86 = 20,454/x
  3. Step 3: Cross multiply
    51,618.84x = 77,431.86 × 20,454
  4. Step 4: Simplify right side
    51,618.84x = 1,583,791,264.44
  5. Step 5: Solve for x
    x = 1,583,791,264.44/51,618.84
  6. Step 6: Final answer
    x = 30,682.43

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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.