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Finding the Fourth Proportional to 51,681.78, 77,522.94 and 20,517

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Solution

The fourth proportional to 51,681.78, 77,522.94 and 20,517 is: 30,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,681.78 : 77,522.94 = 20,517 : x
  2. Step 2: Convert to fraction form
    51,681.78/77,522.94 = 20,517/x
  3. Step 3: Cross multiply
    51,681.78x = 77,522.94 × 20,517
  4. Step 4: Simplify right side
    51,681.78x = 1,590,538,159.98
  5. Step 5: Solve for x
    x = 1,590,538,159.98/51,681.78
  6. Step 6: Final answer
    x = 30,775.61

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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.