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Finding the Fourth Proportional to 205,188.93, 307,891.77 and 145,602.44

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Solution

The fourth proportional to 205,188.93, 307,891.77 and 145,602.44 is: 218,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,188.93 : 307,891.77 = 145,602.44 : x
  2. Step 2: Convert to fraction form
    205,188.93/307,891.77 = 145,602.44/x
  3. Step 3: Cross multiply
    205,188.93x = 307,891.77 × 145,602.44
  4. Step 4: Simplify right side
    205,188.93x = 44,829,793,768.94
  5. Step 5: Solve for x
    x = 44,829,793,768.94/205,188.93
  6. Step 6: Final answer
    x = 218,480.57

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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.