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Finding the Fourth Proportional to 208,461.69, 312,688.21 and 50,690.97

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Solution

The fourth proportional to 208,461.69, 312,688.21 and 50,690.97 is: 76,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,461.69 : 312,688.21 = 50,690.97 : x
  2. Step 2: Convert to fraction form
    208,461.69/312,688.21 = 50,690.97/x
  3. Step 3: Cross multiply
    208,461.69x = 312,688.21 × 50,690.97
  4. Step 4: Simplify right side
    208,461.69x = 15,850,468,672.46
  5. Step 5: Solve for x
    x = 15,850,468,672.46/208,461.69
  6. Step 6: Final answer
    x = 76,035.40

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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.