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Finding the Fourth Proportional to 109,652.74, 164,544.71 and 100,729.78

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Solution

The fourth proportional to 109,652.74, 164,544.71 and 100,729.78 is: 151,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,652.74 : 164,544.71 = 100,729.78 : x
  2. Step 2: Convert to fraction form
    109,652.74/164,544.71 = 100,729.78/x
  3. Step 3: Cross multiply
    109,652.74x = 164,544.71 × 100,729.78
  4. Step 4: Simplify right side
    109,652.74x = 16,574,551,523.45
  5. Step 5: Solve for x
    x = 16,574,551,523.45/109,652.74
  6. Step 6: Final answer
    x = 151,154.93

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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.