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Finding the Fourth Proportional to 172,938, 259,071.32 and 113,593.60

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Solution

The fourth proportional to 172,938, 259,071.32 and 113,593.60 is: 170,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,938 : 259,071.32 = 113,593.60 : x
  2. Step 2: Convert to fraction form
    172,938/259,071.32 = 113,593.60/x
  3. Step 3: Cross multiply
    172,938x = 259,071.32 × 113,593.60
  4. Step 4: Simplify right side
    172,938x = 29,428,843,895.55
  5. Step 5: Solve for x
    x = 29,428,843,895.55/172,938
  6. Step 6: Final answer
    x = 170,169.91

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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.