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Finding the Fourth Proportional to 149,562.41, 206,396.77 and 81,580.84

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Solution

The fourth proportional to 149,562.41, 206,396.77 and 81,580.84 is: 112,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,562.41 : 206,396.77 = 81,580.84 : x
  2. Step 2: Convert to fraction form
    149,562.41/206,396.77 = 81,580.84/x
  3. Step 3: Cross multiply
    149,562.41x = 206,396.77 × 81,580.84
  4. Step 4: Simplify right side
    149,562.41x = 16,838,021,869.89
  5. Step 5: Solve for x
    x = 16,838,021,869.89/149,562.41
  6. Step 6: Final answer
    x = 112,581.91

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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.