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Finding the Fourth Proportional to 120,833.76, 166,831.36 and 75,575.84

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Solution

The fourth proportional to 120,833.76, 166,831.36 and 75,575.84 is: 104,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833.76 : 166,831.36 = 75,575.84 : x
  2. Step 2: Convert to fraction form
    120,833.76/166,831.36 = 75,575.84/x
  3. Step 3: Cross multiply
    120,833.76x = 166,831.36 × 75,575.84
  4. Step 4: Simplify right side
    120,833.76x = 12,608,420,170.34
  5. Step 5: Solve for x
    x = 12,608,420,170.34/120,833.76
  6. Step 6: Final answer
    x = 104,345.18

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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.