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Finding the Fourth Proportional to 51,392.84, 77,128.21 and 21,831.42

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Solution

The fourth proportional to 51,392.84, 77,128.21 and 21,831.42 is: 32,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392.84 : 77,128.21 = 21,831.42 : x
  2. Step 2: Convert to fraction form
    51,392.84/77,128.21 = 21,831.42/x
  3. Step 3: Cross multiply
    51,392.84x = 77,128.21 × 21,831.42
  4. Step 4: Simplify right side
    51,392.84x = 1,683,818,346.36
  5. Step 5: Solve for x
    x = 1,683,818,346.36/51,392.84
  6. Step 6: Final answer
    x = 32,763.68

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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.