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Finding the Fourth Proportional to 257,801.30, 386,720.37 and 107,890.64

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Solution

The fourth proportional to 257,801.30, 386,720.37 and 107,890.64 is: 161,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.30 : 386,720.37 = 107,890.64 : x
  2. Step 2: Convert to fraction form
    257,801.30/386,720.37 = 107,890.64/x
  3. Step 3: Cross multiply
    257,801.30x = 386,720.37 × 107,890.64
  4. Step 4: Simplify right side
    257,801.30x = 41,723,508,220.34
  5. Step 5: Solve for x
    x = 41,723,508,220.34/257,801.30
  6. Step 6: Final answer
    x = 161,843.67

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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.