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Finding the Fourth Proportional to 172,754.46, 259,140.96 and 54,435.06

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Solution

The fourth proportional to 172,754.46, 259,140.96 and 54,435.06 is: 81,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,754.46 : 259,140.96 = 54,435.06 : x
  2. Step 2: Convert to fraction form
    172,754.46/259,140.96 = 54,435.06/x
  3. Step 3: Cross multiply
    172,754.46x = 259,140.96 × 54,435.06
  4. Step 4: Simplify right side
    172,754.46x = 14,106,353,706.06
  5. Step 5: Solve for x
    x = 14,106,353,706.06/172,754.46
  6. Step 6: Final answer
    x = 81,655.51

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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.