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Finding the Fourth Proportional to 203,656.52, 305,076 and 103,812.68

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Solution

The fourth proportional to 203,656.52, 305,076 and 103,812.68 is: 155,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,656.52 : 305,076 = 103,812.68 : x
  2. Step 2: Convert to fraction form
    203,656.52/305,076 = 103,812.68/x
  3. Step 3: Cross multiply
    203,656.52x = 305,076 × 103,812.68
  4. Step 4: Simplify right side
    203,656.52x = 31,670,757,163.68
  5. Step 5: Solve for x
    x = 31,670,757,163.68/203,656.52
  6. Step 6: Final answer
    x = 155,510.65

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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.