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Finding the Fourth Proportional to 203,655.40, 305,706.62 and 161,804.52

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Solution

The fourth proportional to 203,655.40, 305,706.62 and 161,804.52 is: 242,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,655.40 : 305,706.62 = 161,804.52 : x
  2. Step 2: Convert to fraction form
    203,655.40/305,706.62 = 161,804.52/x
  3. Step 3: Cross multiply
    203,655.40x = 305,706.62 × 161,804.52
  4. Step 4: Simplify right side
    203,655.40x = 49,464,712,909.92
  5. Step 5: Solve for x
    x = 49,464,712,909.92/203,655.40
  6. Step 6: Final answer
    x = 242,884.37

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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.