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Finding the Fourth Proportional to 109,477.72, 163,806.50 and 77,960.60

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Solution

The fourth proportional to 109,477.72, 163,806.50 and 77,960.60 is: 116,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,477.72 : 163,806.50 = 77,960.60 : x
  2. Step 2: Convert to fraction form
    109,477.72/163,806.50 = 77,960.60/x
  3. Step 3: Cross multiply
    109,477.72x = 163,806.50 × 77,960.60
  4. Step 4: Simplify right side
    109,477.72x = 12,770,453,023.90
  5. Step 5: Solve for x
    x = 12,770,453,023.90/109,477.72
  6. Step 6: Final answer
    x = 116,648.88

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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.