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Finding the Fourth Proportional to 87,133.24, 130,699.86 and 21,469.24

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Solution

The fourth proportional to 87,133.24, 130,699.86 and 21,469.24 is: 32,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,133.24 : 130,699.86 = 21,469.24 : x
  2. Step 2: Convert to fraction form
    87,133.24/130,699.86 = 21,469.24/x
  3. Step 3: Cross multiply
    87,133.24x = 130,699.86 × 21,469.24
  4. Step 4: Simplify right side
    87,133.24x = 2,806,026,662.31
  5. Step 5: Solve for x
    x = 2,806,026,662.31/87,133.24
  6. Step 6: Final answer
    x = 32,203.86

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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.