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Finding the Fourth Proportional to 51,201.90, 76,810.95 and 17,921.16

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Solution

The fourth proportional to 51,201.90, 76,810.95 and 17,921.16 is: 26,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.90 : 76,810.95 = 17,921.16 : x
  2. Step 2: Convert to fraction form
    51,201.90/76,810.95 = 17,921.16/x
  3. Step 3: Cross multiply
    51,201.90x = 76,810.95 × 17,921.16
  4. Step 4: Simplify right side
    51,201.90x = 1,376,541,324.70
  5. Step 5: Solve for x
    x = 1,376,541,324.70/51,201.90
  6. Step 6: Final answer
    x = 26,884.58

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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.