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Finding the Fourth Proportional to 121,831.60, 182,654.78 and 84,291.88

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Solution

The fourth proportional to 121,831.60, 182,654.78 and 84,291.88 is: 126,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,831.60 : 182,654.78 = 84,291.88 : x
  2. Step 2: Convert to fraction form
    121,831.60/182,654.78 = 84,291.88/x
  3. Step 3: Cross multiply
    121,831.60x = 182,654.78 × 84,291.88
  4. Step 4: Simplify right side
    121,831.60x = 15,396,314,797.19
  5. Step 5: Solve for x
    x = 15,396,314,797.19/121,831.60
  6. Step 6: Final answer
    x = 126,373.74

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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.