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Finding the Fourth Proportional to 209,912.64, 289,709.64 and 125,031.12

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Solution

The fourth proportional to 209,912.64, 289,709.64 and 125,031.12 is: 172,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.64 : 289,709.64 = 125,031.12 : x
  2. Step 2: Convert to fraction form
    209,912.64/289,709.64 = 125,031.12/x
  3. Step 3: Cross multiply
    209,912.64x = 289,709.64 × 125,031.12
  4. Step 4: Simplify right side
    209,912.64x = 36,222,720,764.00
  5. Step 5: Solve for x
    x = 36,222,720,764.00/209,912.64
  6. Step 6: Final answer
    x = 172,560.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.