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Finding the Fourth Proportional to 192,846.80, 288,881.40 and 109,643.60

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Solution

The fourth proportional to 192,846.80, 288,881.40 and 109,643.60 is: 164,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,846.80 : 288,881.40 = 109,643.60 : x
  2. Step 2: Convert to fraction form
    192,846.80/288,881.40 = 109,643.60/x
  3. Step 3: Cross multiply
    192,846.80x = 288,881.40 × 109,643.60
  4. Step 4: Simplify right side
    192,846.80x = 31,673,996,669.04
  5. Step 5: Solve for x
    x = 31,673,996,669.04/192,846.80
  6. Step 6: Final answer
    x = 164,244.35

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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.