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Finding the Fourth Proportional to 208,710.28, 312,859.50 and 133,616.68

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Solution

The fourth proportional to 208,710.28, 312,859.50 and 133,616.68 is: 200,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,710.28 : 312,859.50 = 133,616.68 : x
  2. Step 2: Convert to fraction form
    208,710.28/312,859.50 = 133,616.68/x
  3. Step 3: Cross multiply
    208,710.28x = 312,859.50 × 133,616.68
  4. Step 4: Simplify right side
    208,710.28x = 41,803,247,696.46
  5. Step 5: Solve for x
    x = 41,803,247,696.46/208,710.28
  6. Step 6: Final answer
    x = 200,293.19

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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.