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Finding the Fourth Proportional to 203,218.65, 305,017.10 and 103,453.53

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Solution

The fourth proportional to 203,218.65, 305,017.10 and 103,453.53 is: 155,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.65 : 305,017.10 = 103,453.53 : x
  2. Step 2: Convert to fraction form
    203,218.65/305,017.10 = 103,453.53/x
  3. Step 3: Cross multiply
    203,218.65x = 305,017.10 × 103,453.53
  4. Step 4: Simplify right side
    203,218.65x = 31,555,094,438.91
  5. Step 5: Solve for x
    x = 31,555,094,438.91/203,218.65
  6. Step 6: Final answer
    x = 155,276.57

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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.