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Finding the Fourth Proportional to 205,206.76, 307,842.54 and 78,841.96

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Solution

The fourth proportional to 205,206.76, 307,842.54 and 78,841.96 is: 118,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,206.76 : 307,842.54 = 78,841.96 : x
  2. Step 2: Convert to fraction form
    205,206.76/307,842.54 = 78,841.96/x
  3. Step 3: Cross multiply
    205,206.76x = 307,842.54 × 78,841.96
  4. Step 4: Simplify right side
    205,206.76x = 24,270,909,224.98
  5. Step 5: Solve for x
    x = 24,270,909,224.98/205,206.76
  6. Step 6: Final answer
    x = 118,275.39

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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.