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Finding the Fourth Proportional to 55,978.56, 83,968.68 and 14,425.44

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Solution

The fourth proportional to 55,978.56, 83,968.68 and 14,425.44 is: 21,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.56 : 83,968.68 = 14,425.44 : x
  2. Step 2: Convert to fraction form
    55,978.56/83,968.68 = 14,425.44/x
  3. Step 3: Cross multiply
    55,978.56x = 83,968.68 × 14,425.44
  4. Step 4: Simplify right side
    55,978.56x = 1,211,285,155.22
  5. Step 5: Solve for x
    x = 1,211,285,155.22/55,978.56
  6. Step 6: Final answer
    x = 21,638.38

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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.