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Finding the Fourth Proportional to 267,072.45, 400,648.02 and 77,508.15

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Solution

The fourth proportional to 267,072.45, 400,648.02 and 77,508.15 is: 116,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,072.45 : 400,648.02 = 77,508.15 : x
  2. Step 2: Convert to fraction form
    267,072.45/400,648.02 = 77,508.15/x
  3. Step 3: Cross multiply
    267,072.45x = 400,648.02 × 77,508.15
  4. Step 4: Simplify right side
    267,072.45x = 31,053,486,831.36
  5. Step 5: Solve for x
    x = 31,053,486,831.36/267,072.45
  6. Step 6: Final answer
    x = 116,273.64

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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.