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Finding the Fourth Proportional to 126,478.64, 189,717.88 and 37,794.36

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Solution

The fourth proportional to 126,478.64, 189,717.88 and 37,794.36 is: 56,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,478.64 : 189,717.88 = 37,794.36 : x
  2. Step 2: Convert to fraction form
    126,478.64/189,717.88 = 37,794.36/x
  3. Step 3: Cross multiply
    126,478.64x = 189,717.88 × 37,794.36
  4. Step 4: Simplify right side
    126,478.64x = 7,170,265,855.16
  5. Step 5: Solve for x
    x = 7,170,265,855.16/126,478.64
  6. Step 6: Final answer
    x = 56,691.52

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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.