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Finding the Fourth Proportional to 172,977.42, 258,998.73 and 89,696.46

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Solution

The fourth proportional to 172,977.42, 258,998.73 and 89,696.46 is: 134,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,977.42 : 258,998.73 = 89,696.46 : x
  2. Step 2: Convert to fraction form
    172,977.42/258,998.73 = 89,696.46/x
  3. Step 3: Cross multiply
    172,977.42x = 258,998.73 × 89,696.46
  4. Step 4: Simplify right side
    172,977.42x = 23,231,269,225.50
  5. Step 5: Solve for x
    x = 23,231,269,225.50/172,977.42
  6. Step 6: Final answer
    x = 134,302.32

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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.