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Finding the Fourth Proportional to 129,468, 178,743.60 and 84,833.76

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Solution

The fourth proportional to 129,468, 178,743.60 and 84,833.76 is: 117,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 178,743.60 = 84,833.76 : x
  2. Step 2: Convert to fraction form
    129,468/178,743.60 = 84,833.76/x
  3. Step 3: Cross multiply
    129,468x = 178,743.60 × 84,833.76
  4. Step 4: Simplify right side
    129,468x = 15,163,491,663.94
  5. Step 5: Solve for x
    x = 15,163,491,663.94/129,468
  6. Step 6: Final answer
    x = 117,121.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.