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Finding the Fourth Proportional to 90,705.34, 135,831.72 and 57,324.70

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Solution

The fourth proportional to 90,705.34, 135,831.72 and 57,324.70 is: 85,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,705.34 : 135,831.72 = 57,324.70 : x
  2. Step 2: Convert to fraction form
    90,705.34/135,831.72 = 57,324.70/x
  3. Step 3: Cross multiply
    90,705.34x = 135,831.72 × 57,324.70
  4. Step 4: Simplify right side
    90,705.34x = 7,786,512,599.48
  5. Step 5: Solve for x
    x = 7,786,512,599.48/90,705.34
  6. Step 6: Final answer
    x = 85,844.04

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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.