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Finding the Fourth Proportional to 126,072, 189,140.40 and 47,187.36

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Solution

The fourth proportional to 126,072, 189,140.40 and 47,187.36 is: 70,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,072 : 189,140.40 = 47,187.36 : x
  2. Step 2: Convert to fraction form
    126,072/189,140.40 = 47,187.36/x
  3. Step 3: Cross multiply
    126,072x = 189,140.40 × 47,187.36
  4. Step 4: Simplify right side
    126,072x = 8,925,036,145.34
  5. Step 5: Solve for x
    x = 8,925,036,145.34/126,072
  6. Step 6: Final answer
    x = 70,793.17

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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.