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Finding the Fourth Proportional to 209,622.74, 289,264.79 and 118,980.56

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Solution

The fourth proportional to 209,622.74, 289,264.79 and 118,980.56 is: 164,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622.74 : 289,264.79 = 118,980.56 : x
  2. Step 2: Convert to fraction form
    209,622.74/289,264.79 = 118,980.56/x
  3. Step 3: Cross multiply
    209,622.74x = 289,264.79 × 118,980.56
  4. Step 4: Simplify right side
    209,622.74x = 34,416,885,553.61
  5. Step 5: Solve for x
    x = 34,416,885,553.61/209,622.74
  6. Step 6: Final answer
    x = 164,184.88

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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.