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Finding the Fourth Proportional to 272,760.76, 409,393.41 and 137,919.91

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Solution

The fourth proportional to 272,760.76, 409,393.41 and 137,919.91 is: 207,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,760.76 : 409,393.41 = 137,919.91 : x
  2. Step 2: Convert to fraction form
    272,760.76/409,393.41 = 137,919.91/x
  3. Step 3: Cross multiply
    272,760.76x = 409,393.41 × 137,919.91
  4. Step 4: Simplify right side
    272,760.76x = 56,463,502,364.57
  5. Step 5: Solve for x
    x = 56,463,502,364.57/272,760.76
  6. Step 6: Final answer
    x = 207,007.42

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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.