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Finding the Fourth Proportional to 149,757.50, 206,673.76 and 81,780.79

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Solution

The fourth proportional to 149,757.50, 206,673.76 and 81,780.79 is: 112,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,757.50 : 206,673.76 = 81,780.79 : x
  2. Step 2: Convert to fraction form
    149,757.50/206,673.76 = 81,780.79/x
  3. Step 3: Cross multiply
    149,757.50x = 206,673.76 × 81,780.79
  4. Step 4: Simplify right side
    149,757.50x = 16,901,943,365.07
  5. Step 5: Solve for x
    x = 16,901,943,365.07/149,757.50
  6. Step 6: Final answer
    x = 112,862.08

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1.5x scale

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.