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Finding the Fourth Proportional to 209,579.59, 289,219.87 and 114,087.01

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Solution

The fourth proportional to 209,579.59, 289,219.87 and 114,087.01 is: 157,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,579.59 : 289,219.87 = 114,087.01 : x
  2. Step 2: Convert to fraction form
    209,579.59/289,219.87 = 114,087.01/x
  3. Step 3: Cross multiply
    209,579.59x = 289,219.87 × 114,087.01
  4. Step 4: Simplify right side
    209,579.59x = 32,996,230,200.89
  5. Step 5: Solve for x
    x = 32,996,230,200.89/209,579.59
  6. Step 6: Final answer
    x = 157,440.09

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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.