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Finding the Fourth Proportional to 149,113.50, 205,776.63 and 82,045.50

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Solution

The fourth proportional to 149,113.50, 205,776.63 and 82,045.50 is: 113,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,113.50 : 205,776.63 = 82,045.50 : x
  2. Step 2: Convert to fraction form
    149,113.50/205,776.63 = 82,045.50/x
  3. Step 3: Cross multiply
    149,113.50x = 205,776.63 × 82,045.50
  4. Step 4: Simplify right side
    149,113.50x = 16,883,046,496.67
  5. Step 5: Solve for x
    x = 16,883,046,496.67/149,113.50
  6. Step 6: Final answer
    x = 113,222.79

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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.