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Finding the Fourth Proportional to 208,364.79, 312,218.82 and 161,095.17

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Solution

The fourth proportional to 208,364.79, 312,218.82 and 161,095.17 is: 241,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,364.79 : 312,218.82 = 161,095.17 : x
  2. Step 2: Convert to fraction form
    208,364.79/312,218.82 = 161,095.17/x
  3. Step 3: Cross multiply
    208,364.79x = 312,218.82 × 161,095.17
  4. Step 4: Simplify right side
    208,364.79x = 50,296,943,885.10
  5. Step 5: Solve for x
    x = 50,296,943,885.10/208,364.79
  6. Step 6: Final answer
    x = 241,388.88

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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.