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Finding the Fourth Proportional to 209,956.32, 289,729.20 and 119,300.32

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Solution

The fourth proportional to 209,956.32, 289,729.20 and 119,300.32 is: 164,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,956.32 : 289,729.20 = 119,300.32 : x
  2. Step 2: Convert to fraction form
    209,956.32/289,729.20 = 119,300.32/x
  3. Step 3: Cross multiply
    209,956.32x = 289,729.20 × 119,300.32
  4. Step 4: Simplify right side
    209,956.32x = 34,564,786,273.34
  5. Step 5: Solve for x
    x = 34,564,786,273.34/209,956.32
  6. Step 6: Final answer
    x = 164,628.46

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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.