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Finding the Fourth Proportional to 119,322.74, 178,831.02 and 100,820.72

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Solution

The fourth proportional to 119,322.74, 178,831.02 and 100,820.72 is: 151,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322.74 : 178,831.02 = 100,820.72 : x
  2. Step 2: Convert to fraction form
    119,322.74/178,831.02 = 100,820.72/x
  3. Step 3: Cross multiply
    119,322.74x = 178,831.02 × 100,820.72
  4. Step 4: Simplify right side
    119,322.74x = 18,029,872,194.73
  5. Step 5: Solve for x
    x = 18,029,872,194.73/119,322.74
  6. Step 6: Final answer
    x = 151,101.73

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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.