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Finding the Fourth Proportional to 78,918.50, 108,910.78 and 45,384.50

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Solution

The fourth proportional to 78,918.50, 108,910.78 and 45,384.50 is: 62,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,918.50 : 108,910.78 = 45,384.50 : x
  2. Step 2: Convert to fraction form
    78,918.50/108,910.78 = 45,384.50/x
  3. Step 3: Cross multiply
    78,918.50x = 108,910.78 × 45,384.50
  4. Step 4: Simplify right side
    78,918.50x = 4,942,861,294.91
  5. Step 5: Solve for x
    x = 4,942,861,294.91/78,918.50
  6. Step 6: Final answer
    x = 62,632.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.