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Finding the Fourth Proportional to 208,632.20, 312,818.70 and 119,841.80

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Solution

The fourth proportional to 208,632.20, 312,818.70 and 119,841.80 is: 179,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,632.20 : 312,818.70 = 119,841.80 : x
  2. Step 2: Convert to fraction form
    208,632.20/312,818.70 = 119,841.80/x
  3. Step 3: Cross multiply
    208,632.20x = 312,818.70 × 119,841.80
  4. Step 4: Simplify right side
    208,632.20x = 37,488,756,081.66
  5. Step 5: Solve for x
    x = 37,488,756,081.66/208,632.20
  6. Step 6: Final answer
    x = 179,688.26

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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.