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Finding the Fourth Proportional to 203,891.86, 305,838 and 77,502.40

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Solution

The fourth proportional to 203,891.86, 305,838 and 77,502.40 is: 116,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,891.86 : 305,838 = 77,502.40 : x
  2. Step 2: Convert to fraction form
    203,891.86/305,838 = 77,502.40/x
  3. Step 3: Cross multiply
    203,891.86x = 305,838 × 77,502.40
  4. Step 4: Simplify right side
    203,891.86x = 23,703,179,011.20
  5. Step 5: Solve for x
    x = 23,703,179,011.20/203,891.86
  6. Step 6: Final answer
    x = 116,253.68

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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.