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Finding the Fourth Proportional to 109,144.80, 163,630.08 and 61,730.64

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Solution

The fourth proportional to 109,144.80, 163,630.08 and 61,730.64 is: 92,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,144.80 : 163,630.08 = 61,730.64 : x
  2. Step 2: Convert to fraction form
    109,144.80/163,630.08 = 61,730.64/x
  3. Step 3: Cross multiply
    109,144.80x = 163,630.08 × 61,730.64
  4. Step 4: Simplify right side
    109,144.80x = 10,100,989,561.65
  5. Step 5: Solve for x
    x = 10,100,989,561.65/109,144.80
  6. Step 6: Final answer
    x = 92,546.69

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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.