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Finding the Fourth Proportional to 87,153.61, 130,687.24 and 30,985.31

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Solution

The fourth proportional to 87,153.61, 130,687.24 and 30,985.31 is: 46,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,153.61 : 130,687.24 = 30,985.31 : x
  2. Step 2: Convert to fraction form
    87,153.61/130,687.24 = 30,985.31/x
  3. Step 3: Cross multiply
    87,153.61x = 130,687.24 × 30,985.31
  4. Step 4: Simplify right side
    87,153.61x = 4,049,383,991.01
  5. Step 5: Solve for x
    x = 4,049,383,991.01/87,153.61
  6. Step 6: Final answer
    x = 46,462.61

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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.