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Finding the Fourth Proportional to 126,073, 189,141.90 and 47,188.36

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Solution

The fourth proportional to 126,073, 189,141.90 and 47,188.36 is: 70,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,073 : 189,141.90 = 47,188.36 : x
  2. Step 2: Convert to fraction form
    126,073/189,141.90 = 47,188.36/x
  3. Step 3: Cross multiply
    126,073x = 189,141.90 × 47,188.36
  4. Step 4: Simplify right side
    126,073x = 8,925,296,068.28
  5. Step 5: Solve for x
    x = 8,925,296,068.28/126,073
  6. Step 6: Final answer
    x = 70,794.67

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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.