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Finding the Fourth Proportional to 149,693.94, 206,576.64 and 81,710.64

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Solution

The fourth proportional to 149,693.94, 206,576.64 and 81,710.64 is: 112,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.94 : 206,576.64 = 81,710.64 : x
  2. Step 2: Convert to fraction form
    149,693.94/206,576.64 = 81,710.64/x
  3. Step 3: Cross multiply
    149,693.94x = 206,576.64 × 81,710.64
  4. Step 4: Simplify right side
    149,693.94x = 16,879,509,463.45
  5. Step 5: Solve for x
    x = 16,879,509,463.45/149,693.94
  6. Step 6: Final answer
    x = 112,760.14

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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.