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Finding the Fourth Proportional to 129,754.44, 178,949.28 and 84,415.86

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Solution

The fourth proportional to 129,754.44, 178,949.28 and 84,415.86 is: 116,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,754.44 : 178,949.28 = 84,415.86 : x
  2. Step 2: Convert to fraction form
    129,754.44/178,949.28 = 84,415.86/x
  3. Step 3: Cross multiply
    129,754.44x = 178,949.28 × 84,415.86
  4. Step 4: Simplify right side
    129,754.44x = 15,106,157,367.58
  5. Step 5: Solve for x
    x = 15,106,157,367.58/129,754.44
  6. Step 6: Final answer
    x = 116,421.12

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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.