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Finding the Fourth Proportional to 208,853.76, 313,313.28 and 68,580.48

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Solution

The fourth proportional to 208,853.76, 313,313.28 and 68,580.48 is: 102,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.76 : 313,313.28 = 68,580.48 : x
  2. Step 2: Convert to fraction form
    208,853.76/313,313.28 = 68,580.48/x
  3. Step 3: Cross multiply
    208,853.76x = 313,313.28 × 68,580.48
  4. Step 4: Simplify right side
    208,853.76x = 21,487,175,132.77
  5. Step 5: Solve for x
    x = 21,487,175,132.77/208,853.76
  6. Step 6: Final answer
    x = 102,881.44

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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.