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Finding the Fourth Proportional to 149,562.71, 206,399.35 and 81,582.11

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Solution

The fourth proportional to 149,562.71, 206,399.35 and 81,582.11 is: 112,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,562.71 : 206,399.35 = 81,582.11 : x
  2. Step 2: Convert to fraction form
    149,562.71/206,399.35 = 81,582.11/x
  3. Step 3: Cross multiply
    149,562.71x = 206,399.35 × 81,582.11
  4. Step 4: Simplify right side
    149,562.71x = 16,838,494,670.66
  5. Step 5: Solve for x
    x = 16,838,494,670.66/149,562.71
  6. Step 6: Final answer
    x = 112,584.85

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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.