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Finding the Fourth Proportional to 149,641.31, 206,509.40 and 81,662.67

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Solution

The fourth proportional to 149,641.31, 206,509.40 and 81,662.67 is: 112,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,641.31 : 206,509.40 = 81,662.67 : x
  2. Step 2: Convert to fraction form
    149,641.31/206,509.40 = 81,662.67/x
  3. Step 3: Cross multiply
    149,641.31x = 206,509.40 × 81,662.67
  4. Step 4: Simplify right side
    149,641.31x = 16,864,108,984.10
  5. Step 5: Solve for x
    x = 16,864,108,984.10/149,641.31
  6. Step 6: Final answer
    x = 112,696.88

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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.