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Finding the Fourth Proportional to 257,871.58, 386,957.97 and 108,100.36

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Solution

The fourth proportional to 257,871.58, 386,957.97 and 108,100.36 is: 162,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,871.58 : 386,957.97 = 108,100.36 : x
  2. Step 2: Convert to fraction form
    257,871.58/386,957.97 = 108,100.36/x
  3. Step 3: Cross multiply
    257,871.58x = 386,957.97 × 108,100.36
  4. Step 4: Simplify right side
    257,871.58x = 41,830,295,861.87
  5. Step 5: Solve for x
    x = 41,830,295,861.87/257,871.58
  6. Step 6: Final answer
    x = 162,213.67

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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.