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Finding the Fourth Proportional to 129,374.72, 178,537.11 and 72,786.09

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Solution

The fourth proportional to 129,374.72, 178,537.11 and 72,786.09 is: 100,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,374.72 : 178,537.11 = 72,786.09 : x
  2. Step 2: Convert to fraction form
    129,374.72/178,537.11 = 72,786.09/x
  3. Step 3: Cross multiply
    129,374.72x = 178,537.11 × 72,786.09
  4. Step 4: Simplify right side
    129,374.72x = 12,995,018,962.79
  5. Step 5: Solve for x
    x = 12,995,018,962.79/129,374.72
  6. Step 6: Final answer
    x = 100,444.81

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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.