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Finding the Fourth Proportional to 172,084.56, 257,835.60 and 105,385.38

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Solution

The fourth proportional to 172,084.56, 257,835.60 and 105,385.38 is: 157,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084.56 : 257,835.60 = 105,385.38 : x
  2. Step 2: Convert to fraction form
    172,084.56/257,835.60 = 105,385.38/x
  3. Step 3: Cross multiply
    172,084.56x = 257,835.60 × 105,385.38
  4. Step 4: Simplify right side
    172,084.56x = 27,172,102,683.53
  5. Step 5: Solve for x
    x = 27,172,102,683.53/172,084.56
  6. Step 6: Final answer
    x = 157,899.71

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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.