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Finding the Fourth Proportional to 203,411.54, 305,005.53 and 161,559.65

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Solution

The fourth proportional to 203,411.54, 305,005.53 and 161,559.65 is: 242,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.54 : 305,005.53 = 161,559.65 : x
  2. Step 2: Convert to fraction form
    203,411.54/305,005.53 = 161,559.65/x
  3. Step 3: Cross multiply
    203,411.54x = 305,005.53 × 161,559.65
  4. Step 4: Simplify right side
    203,411.54x = 49,276,588,043.23
  5. Step 5: Solve for x
    x = 49,276,588,043.23/203,411.54
  6. Step 6: Final answer
    x = 242,250.70

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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.