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Finding the Fourth Proportional to 205,163.04, 307,784.40 and 78,794

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Solution

The fourth proportional to 205,163.04, 307,784.40 and 78,794 is: 118,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,163.04 : 307,784.40 = 78,794 : x
  2. Step 2: Convert to fraction form
    205,163.04/307,784.40 = 78,794/x
  3. Step 3: Cross multiply
    205,163.04x = 307,784.40 × 78,794
  4. Step 4: Simplify right side
    205,163.04x = 24,251,564,013.60
  5. Step 5: Solve for x
    x = 24,251,564,013.60/205,163.04
  6. Step 6: Final answer
    x = 118,206.30

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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.