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Finding the Fourth Proportional to 149,775.94, 206,689.53 and 82,706.50

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Solution

The fourth proportional to 149,775.94, 206,689.53 and 82,706.50 is: 114,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775.94 : 206,689.53 = 82,706.50 : x
  2. Step 2: Convert to fraction form
    149,775.94/206,689.53 = 82,706.50/x
  3. Step 3: Cross multiply
    149,775.94x = 206,689.53 × 82,706.50
  4. Step 4: Simplify right side
    149,775.94x = 17,094,567,612.95
  5. Step 5: Solve for x
    x = 17,094,567,612.95/149,775.94
  6. Step 6: Final answer
    x = 114,134.27

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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.