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Finding the Fourth Proportional to 126,041.70, 188,989.65 and 47,163.90

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Solution

The fourth proportional to 126,041.70, 188,989.65 and 47,163.90 is: 70,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,041.70 : 188,989.65 = 47,163.90 : x
  2. Step 2: Convert to fraction form
    126,041.70/188,989.65 = 47,163.90/x
  3. Step 3: Cross multiply
    126,041.70x = 188,989.65 × 47,163.90
  4. Step 4: Simplify right side
    126,041.70x = 8,913,488,953.64
  5. Step 5: Solve for x
    x = 8,913,488,953.64/126,041.70
  6. Step 6: Final answer
    x = 70,718.57

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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.