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Finding the Fourth Proportional to 76,554, 114,831.48 and 21,150.48

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Solution

The fourth proportional to 76,554, 114,831.48 and 21,150.48 is: 31,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554 : 114,831.48 = 21,150.48 : x
  2. Step 2: Convert to fraction form
    76,554/114,831.48 = 21,150.48/x
  3. Step 3: Cross multiply
    76,554x = 114,831.48 × 21,150.48
  4. Step 4: Simplify right side
    76,554x = 2,428,740,921.11
  5. Step 5: Solve for x
    x = 2,428,740,921.11/76,554
  6. Step 6: Final answer
    x = 31,725.85

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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.