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Finding the Fourth Proportional to 109,340.80, 164,011.20 and 69,942.40

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Solution

The fourth proportional to 109,340.80, 164,011.20 and 69,942.40 is: 104,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,340.80 : 164,011.20 = 69,942.40 : x
  2. Step 2: Convert to fraction form
    109,340.80/164,011.20 = 69,942.40/x
  3. Step 3: Cross multiply
    109,340.80x = 164,011.20 × 69,942.40
  4. Step 4: Simplify right side
    109,340.80x = 11,471,336,954.88
  5. Step 5: Solve for x
    x = 11,471,336,954.88/109,340.80
  6. Step 6: Final answer
    x = 104,913.60

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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.