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Finding the Fourth Proportional to 129,377.84, 178,514.40 and 75,652.44

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Solution

The fourth proportional to 129,377.84, 178,514.40 and 75,652.44 is: 104,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,377.84 : 178,514.40 = 75,652.44 : x
  2. Step 2: Convert to fraction form
    129,377.84/178,514.40 = 75,652.44/x
  3. Step 3: Cross multiply
    129,377.84x = 178,514.40 × 75,652.44
  4. Step 4: Simplify right side
    129,377.84x = 13,505,049,935.14
  5. Step 5: Solve for x
    x = 13,505,049,935.14/129,377.84
  6. Step 6: Final answer
    x = 104,384.57

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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.