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Finding the Fourth Proportional to 51,256, 70,716.81 and 40,466.80

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Solution

The fourth proportional to 51,256, 70,716.81 and 40,466.80 is: 55,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,256 : 70,716.81 = 40,466.80 : x
  2. Step 2: Convert to fraction form
    51,256/70,716.81 = 40,466.80/x
  3. Step 3: Cross multiply
    51,256x = 70,716.81 × 40,466.80
  4. Step 4: Simplify right side
    51,256x = 2,861,683,006.91
  5. Step 5: Solve for x
    x = 2,861,683,006.91/51,256
  6. Step 6: Final answer
    x = 55,831.18

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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.