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Finding the Fourth Proportional to 83,121.52, 114,672.88 and 50,831.68

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Solution

The fourth proportional to 83,121.52, 114,672.88 and 50,831.68 is: 70,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.52 : 114,672.88 = 50,831.68 : x
  2. Step 2: Convert to fraction form
    83,121.52/114,672.88 = 50,831.68/x
  3. Step 3: Cross multiply
    83,121.52x = 114,672.88 × 50,831.68
  4. Step 4: Simplify right side
    83,121.52x = 5,829,015,140.84
  5. Step 5: Solve for x
    x = 5,829,015,140.84/83,121.52
  6. Step 6: Final answer
    x = 70,126.43

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1.5x scale

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.