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Finding the Fourth Proportional to 203,426.27, 305,097.65 and 77,023.01

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Solution

The fourth proportional to 203,426.27, 305,097.65 and 77,023.01 is: 115,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,426.27 : 305,097.65 = 77,023.01 : x
  2. Step 2: Convert to fraction form
    203,426.27/305,097.65 = 77,023.01/x
  3. Step 3: Cross multiply
    203,426.27x = 305,097.65 × 77,023.01
  4. Step 4: Simplify right side
    203,426.27x = 23,499,539,346.93
  5. Step 5: Solve for x
    x = 23,499,539,346.93/203,426.27
  6. Step 6: Final answer
    x = 115,518.71

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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.