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Finding the Fourth Proportional to 126,419.66, 174,464.43 and 72,704.72

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Solution

The fourth proportional to 126,419.66, 174,464.43 and 72,704.72 is: 100,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,419.66 : 174,464.43 = 72,704.72 : x
  2. Step 2: Convert to fraction form
    126,419.66/174,464.43 = 72,704.72/x
  3. Step 3: Cross multiply
    126,419.66x = 174,464.43 × 72,704.72
  4. Step 4: Simplify right side
    126,419.66x = 12,684,387,533.11
  5. Step 5: Solve for x
    x = 12,684,387,533.11/126,419.66
  6. Step 6: Final answer
    x = 100,335.56

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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.