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Finding the Fourth Proportional to 126,697.64, 189,849.36 and 47,768.72

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Solution

The fourth proportional to 126,697.64, 189,849.36 and 47,768.72 is: 71,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,697.64 : 189,849.36 = 47,768.72 : x
  2. Step 2: Convert to fraction form
    126,697.64/189,849.36 = 47,768.72/x
  3. Step 3: Cross multiply
    126,697.64x = 189,849.36 × 47,768.72
  4. Step 4: Simplify right side
    126,697.64x = 9,068,860,920.02
  5. Step 5: Solve for x
    x = 9,068,860,920.02/126,697.64
  6. Step 6: Final answer
    x = 71,578.77

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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.