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Finding the Fourth Proportional to 205,169, 307,793.40 and 78,800

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Solution

The fourth proportional to 205,169, 307,793.40 and 78,800 is: 118,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,169 : 307,793.40 = 78,800 : x
  2. Step 2: Convert to fraction form
    205,169/307,793.40 = 78,800/x
  3. Step 3: Cross multiply
    205,169x = 307,793.40 × 78,800
  4. Step 4: Simplify right side
    205,169x = 24,254,119,920
  5. Step 5: Solve for x
    x = 24,254,119,920/205,169
  6. Step 6: Final answer
    x = 118,215.32

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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.