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Finding the Fourth Proportional to 117,389, 176,109.42 and 43,517

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Solution

The fourth proportional to 117,389, 176,109.42 and 43,517 is: 65,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,389 : 176,109.42 = 43,517 : x
  2. Step 2: Convert to fraction form
    117,389/176,109.42 = 43,517/x
  3. Step 3: Cross multiply
    117,389x = 176,109.42 × 43,517
  4. Step 4: Simplify right side
    117,389x = 7,663,753,630.14
  5. Step 5: Solve for x
    x = 7,663,753,630.14/117,389
  6. Step 6: Final answer
    x = 65,285.11

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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.