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Finding the Fourth Proportional to 149,283.88, 206,011.92 and 81,300.96

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Solution

The fourth proportional to 149,283.88, 206,011.92 and 81,300.96 is: 112,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,283.88 : 206,011.92 = 81,300.96 : x
  2. Step 2: Convert to fraction form
    149,283.88/206,011.92 = 81,300.96/x
  3. Step 3: Cross multiply
    149,283.88x = 206,011.92 × 81,300.96
  4. Step 4: Simplify right side
    149,283.88x = 16,748,966,867.44
  5. Step 5: Solve for x
    x = 16,748,966,867.44/149,283.88
  6. Step 6: Final answer
    x = 112,195.41

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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.