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Finding the Fourth Proportional to 76,551.16, 114,828.90 and 21,147.16

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Solution

The fourth proportional to 76,551.16, 114,828.90 and 21,147.16 is: 31,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551.16 : 114,828.90 = 21,147.16 : x
  2. Step 2: Convert to fraction form
    76,551.16/114,828.90 = 21,147.16/x
  3. Step 3: Cross multiply
    76,551.16x = 114,828.90 × 21,147.16
  4. Step 4: Simplify right side
    76,551.16x = 2,428,305,120.92
  5. Step 5: Solve for x
    x = 2,428,305,120.92/76,551.16
  6. Step 6: Final answer
    x = 31,721.34

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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.