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Finding the Fourth Proportional to 172,713.42, 258,737.76 and 105,958.62

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Solution

The fourth proportional to 172,713.42, 258,737.76 and 105,958.62 is: 158,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,713.42 : 258,737.76 = 105,958.62 : x
  2. Step 2: Convert to fraction form
    172,713.42/258,737.76 = 105,958.62/x
  3. Step 3: Cross multiply
    172,713.42x = 258,737.76 × 105,958.62
  4. Step 4: Simplify right side
    172,713.42x = 27,415,495,991.49
  5. Step 5: Solve for x
    x = 27,415,495,991.49/172,713.42
  6. Step 6: Final answer
    x = 158,734.02

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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.