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Finding the Fourth Proportional to 149,275.55, 205,990.93 and 82,207.55

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Solution

The fourth proportional to 149,275.55, 205,990.93 and 82,207.55 is: 113,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275.55 : 205,990.93 = 82,207.55 : x
  2. Step 2: Convert to fraction form
    149,275.55/205,990.93 = 82,207.55/x
  3. Step 3: Cross multiply
    149,275.55x = 205,990.93 × 82,207.55
  4. Step 4: Simplify right side
    149,275.55x = 16,934,010,295.26
  5. Step 5: Solve for x
    x = 16,934,010,295.26/149,275.55
  6. Step 6: Final answer
    x = 113,441.28

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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.