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Finding the Fourth Proportional to 172,528.56, 258,989.76 and 115,644.78

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Solution

The fourth proportional to 172,528.56, 258,989.76 and 115,644.78 is: 173,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,528.56 : 258,989.76 = 115,644.78 : x
  2. Step 2: Convert to fraction form
    172,528.56/258,989.76 = 115,644.78/x
  3. Step 3: Cross multiply
    172,528.56x = 258,989.76 × 115,644.78
  4. Step 4: Simplify right side
    172,528.56x = 29,950,813,817.45
  5. Step 5: Solve for x
    x = 29,950,813,817.45/172,528.56
  6. Step 6: Final answer
    x = 173,599.16

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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.