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Finding the Fourth Proportional to 51,978.84, 77,985 and 16,942.56

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Solution

The fourth proportional to 51,978.84, 77,985 and 16,942.56 is: 25,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.84 : 77,985 = 16,942.56 : x
  2. Step 2: Convert to fraction form
    51,978.84/77,985 = 16,942.56/x
  3. Step 3: Cross multiply
    51,978.84x = 77,985 × 16,942.56
  4. Step 4: Simplify right side
    51,978.84x = 1,321,265,541.60
  5. Step 5: Solve for x
    x = 1,321,265,541.60/51,978.84
  6. Step 6: Final answer
    x = 25,419.30

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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.