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Finding the Fourth Proportional to 149,782.50, 206,701.51 and 81,801.48

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Solution

The fourth proportional to 149,782.50, 206,701.51 and 81,801.48 is: 112,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,782.50 : 206,701.51 = 81,801.48 : x
  2. Step 2: Convert to fraction form
    149,782.50/206,701.51 = 81,801.48/x
  3. Step 3: Cross multiply
    149,782.50x = 206,701.51 × 81,801.48
  4. Step 4: Simplify right side
    149,782.50x = 16,908,489,231.73
  5. Step 5: Solve for x
    x = 16,908,489,231.73/149,782.50
  6. Step 6: Final answer
    x = 112,886.95

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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.