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Finding the Fourth Proportional to 85,765.34, 128,604.14 and 35,831.82

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Solution

The fourth proportional to 85,765.34, 128,604.14 and 35,831.82 is: 53,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,765.34 : 128,604.14 = 35,831.82 : x
  2. Step 2: Convert to fraction form
    85,765.34/128,604.14 = 35,831.82/x
  3. Step 3: Cross multiply
    85,765.34x = 128,604.14 × 35,831.82
  4. Step 4: Simplify right side
    85,765.34x = 4,608,120,395.73
  5. Step 5: Solve for x
    x = 4,608,120,395.73/85,765.34
  6. Step 6: Final answer
    x = 53,729.40

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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.